CSS - PMS - CCE - PCS - Mathematics
Geometry
Lines ℓ and m are parallel. If ∠1=111°, find the alternate interior angle ∠2.<br/><svg xmlns="http://www.w3.org/2000/svg" width="260" height="180" viewBox="0 0 260 180" role="img"><line x1="25" y1="48" x2="235" y2="48" stroke="#1f2937" stroke-width="2"/><line x1="25" y1="132" x2="235" y2="132" stroke="#1f2937" stroke-width="2"/><line x1="75" y1="15" x2="170" y2="165" stroke="#2563eb" stroke-width="2.5"/><text x="95" y="42" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">∠1</text><text x="144" y="125" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">∠2</text><text x="25" y="23" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">ℓ ∥ m</text></svg>
A. 103°
B. 127°
C. 119°
D. 111°
Correct Answer: D
Alternate interior angles are equal, hence ∠2=111°.
CSS - PMS - CCE - PCS - Mathematics
Geometry
Lines ℓ and m are parallel. If ∠1=104°, find the alternate interior angle ∠2.<br/><svg xmlns="http://www.w3.org/2000/svg" width="260" height="180" viewBox="0 0 260 180" role="img"><line x1="25" y1="48" x2="235" y2="48" stroke="#1f2937" stroke-width="2"/><line x1="25" y1="132" x2="235" y2="132" stroke="#1f2937" stroke-width="2"/><line x1="75" y1="15" x2="170" y2="165" stroke="#2563eb" stroke-width="2.5"/><text x="95" y="42" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">∠1</text><text x="144" y="125" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">∠2</text><text x="25" y="23" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">ℓ ∥ m</text></svg>
A. 120°
B. 96°
C. 112°
D. 104°
Correct Answer: D
Alternate interior angles are equal, hence ∠2=104°.
CSS - PMS - CCE - PCS - Mathematics
Geometry
Lines ℓ and m are parallel. If ∠1=97°, find the alternate interior angle ∠2.<br/><svg xmlns="http://www.w3.org/2000/svg" width="260" height="180" viewBox="0 0 260 180" role="img"><line x1="25" y1="48" x2="235" y2="48" stroke="#1f2937" stroke-width="2"/><line x1="25" y1="132" x2="235" y2="132" stroke="#1f2937" stroke-width="2"/><line x1="75" y1="15" x2="170" y2="165" stroke="#2563eb" stroke-width="2.5"/><text x="95" y="42" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">∠1</text><text x="144" y="125" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">∠2</text><text x="25" y="23" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">ℓ ∥ m</text></svg>
A. 113°
B. 89°
C. 105°
D. 97°
Correct Answer: D
Alternate interior angles are equal, hence ∠2=97°.
CSS - PMS - CCE - PCS - Mathematics
Geometry
Lines ℓ and m are parallel. If ∠1=90°, find the alternate interior angle ∠2.<br/><svg xmlns="http://www.w3.org/2000/svg" width="260" height="180" viewBox="0 0 260 180" role="img"><line x1="25" y1="48" x2="235" y2="48" stroke="#1f2937" stroke-width="2"/><line x1="25" y1="132" x2="235" y2="132" stroke="#1f2937" stroke-width="2"/><line x1="75" y1="15" x2="170" y2="165" stroke="#2563eb" stroke-width="2.5"/><text x="95" y="42" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">∠1</text><text x="144" y="125" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">∠2</text><text x="25" y="23" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">ℓ ∥ m</text></svg>
A. 106°
B. 82°
C. 98°
D. 90°
Correct Answer: D
Alternate interior angles are equal, hence ∠2=90°.
CSS - PMS - CCE - PCS - Mathematics
Geometry
Lines ℓ and m are parallel. If ∠1=83°, find the alternate interior angle ∠2.<br/><svg xmlns="http://www.w3.org/2000/svg" width="260" height="180" viewBox="0 0 260 180" role="img"><line x1="25" y1="48" x2="235" y2="48" stroke="#1f2937" stroke-width="2"/><line x1="25" y1="132" x2="235" y2="132" stroke="#1f2937" stroke-width="2"/><line x1="75" y1="15" x2="170" y2="165" stroke="#2563eb" stroke-width="2.5"/><text x="95" y="42" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">∠1</text><text x="144" y="125" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">∠2</text><text x="25" y="23" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">ℓ ∥ m</text></svg>
A. 75°
B. 83°
C. 99°
D. 91°
Correct Answer: B
Alternate interior angles are equal, hence ∠2=83°.
CSS - PMS - CCE - PCS - Mathematics
Geometry
Lines ℓ and m are parallel. If ∠1=76°, find the alternate interior angle ∠2.<br/><svg xmlns="http://www.w3.org/2000/svg" width="260" height="180" viewBox="0 0 260 180" role="img"><line x1="25" y1="48" x2="235" y2="48" stroke="#1f2937" stroke-width="2"/><line x1="25" y1="132" x2="235" y2="132" stroke="#1f2937" stroke-width="2"/><line x1="75" y1="15" x2="170" y2="165" stroke="#2563eb" stroke-width="2.5"/><text x="95" y="42" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">∠1</text><text x="144" y="125" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">∠2</text><text x="25" y="23" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">ℓ ∥ m</text></svg>
A. 84°
B. 68°
C. 76°
D. 92°
Correct Answer: C
Alternate interior angles are equal, hence ∠2=76°.
CSS - PMS - CCE - PCS - Mathematics
Geometry
Lines ℓ and m are parallel. If ∠1=69°, find the alternate interior angle ∠2.<br/><svg xmlns="http://www.w3.org/2000/svg" width="260" height="180" viewBox="0 0 260 180" role="img"><line x1="25" y1="48" x2="235" y2="48" stroke="#1f2937" stroke-width="2"/><line x1="25" y1="132" x2="235" y2="132" stroke="#1f2937" stroke-width="2"/><line x1="75" y1="15" x2="170" y2="165" stroke="#2563eb" stroke-width="2.5"/><text x="95" y="42" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">∠1</text><text x="144" y="125" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">∠2</text><text x="25" y="23" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">ℓ ∥ m</text></svg>
A. 85°
B. 77°
C. 69°
D. 61°
Correct Answer: C
Alternate interior angles are equal, hence ∠2=69°.
CSS - PMS - CCE - PCS - Mathematics
Geometry
Lines ℓ and m are parallel. If ∠1=62°, find the alternate interior angle ∠2.<br/><svg xmlns="http://www.w3.org/2000/svg" width="260" height="180" viewBox="0 0 260 180" role="img"><line x1="25" y1="48" x2="235" y2="48" stroke="#1f2937" stroke-width="2"/><line x1="25" y1="132" x2="235" y2="132" stroke="#1f2937" stroke-width="2"/><line x1="75" y1="15" x2="170" y2="165" stroke="#2563eb" stroke-width="2.5"/><text x="95" y="42" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">∠1</text><text x="144" y="125" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">∠2</text><text x="25" y="23" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">ℓ ∥ m</text></svg>
A. 54°
B. 62°
C. 78°
D. 70°
Correct Answer: B
Alternate interior angles are equal, hence ∠2=62°.
CSS - PMS - CCE - PCS - Mathematics
Geometry
Lines ℓ and m are parallel. If ∠1=55°, find the alternate interior angle ∠2.<br/><svg xmlns="http://www.w3.org/2000/svg" width="260" height="180" viewBox="0 0 260 180" role="img"><line x1="25" y1="48" x2="235" y2="48" stroke="#1f2937" stroke-width="2"/><line x1="25" y1="132" x2="235" y2="132" stroke="#1f2937" stroke-width="2"/><line x1="75" y1="15" x2="170" y2="165" stroke="#2563eb" stroke-width="2.5"/><text x="95" y="42" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">∠1</text><text x="144" y="125" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">∠2</text><text x="25" y="23" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">ℓ ∥ m</text></svg>
A. 55°
B. 63°
C. 71°
D. 47°
Correct Answer: A
Alternate interior angles are equal, hence ∠2=55°.
CSS - PMS - CCE - PCS - Mathematics
Geometry
Lines ℓ and m are parallel. If ∠1=48°, find the alternate interior angle ∠2.<br/><svg xmlns="http://www.w3.org/2000/svg" width="260" height="180" viewBox="0 0 260 180" role="img"><line x1="25" y1="48" x2="235" y2="48" stroke="#1f2937" stroke-width="2"/><line x1="25" y1="132" x2="235" y2="132" stroke="#1f2937" stroke-width="2"/><line x1="75" y1="15" x2="170" y2="165" stroke="#2563eb" stroke-width="2.5"/><text x="95" y="42" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">∠1</text><text x="144" y="125" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">∠2</text><text x="25" y="23" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">ℓ ∥ m</text></svg>
A. 56°
B. 40°
C. 64°
D. 48°
Correct Answer: D
Alternate interior angles are equal, hence ∠2=48°.
CSS - PMS - CCE - PCS - Mathematics
Geometry
Lines ℓ and m are parallel. If ∠1=108°, find corresponding ∠2.<br/><svg xmlns="http://www.w3.org/2000/svg" width="260" height="180" viewBox="0 0 260 180" role="img"><line x1="25" y1="48" x2="235" y2="48" stroke="#1f2937" stroke-width="2"/><line x1="25" y1="132" x2="235" y2="132" stroke="#1f2937" stroke-width="2"/><line x1="75" y1="15" x2="170" y2="165" stroke="#2563eb" stroke-width="2.5"/><text x="95" y="42" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">∠1</text><text x="144" y="125" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">∠2</text><text x="25" y="23" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">ℓ ∥ m</text></svg>
A. 116°
B. 108°
C. 124°
D. 100°
Correct Answer: B
Corresponding angles are equal for parallel lines, so ∠2=108°.
CSS - PMS - CCE - PCS - Mathematics
Geometry
Lines ℓ and m are parallel. If ∠1=101°, find corresponding ∠2.<br/><svg xmlns="http://www.w3.org/2000/svg" width="260" height="180" viewBox="0 0 260 180" role="img"><line x1="25" y1="48" x2="235" y2="48" stroke="#1f2937" stroke-width="2"/><line x1="25" y1="132" x2="235" y2="132" stroke="#1f2937" stroke-width="2"/><line x1="75" y1="15" x2="170" y2="165" stroke="#2563eb" stroke-width="2.5"/><text x="95" y="42" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">∠1</text><text x="144" y="125" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">∠2</text><text x="25" y="23" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">ℓ ∥ m</text></svg>
A. 109°
B. 101°
C. 93°
D. 117°
Correct Answer: B
Corresponding angles are equal for parallel lines, so ∠2=101°.
CSS - PMS - CCE - PCS - Mathematics
Geometry
Lines ℓ and m are parallel. If ∠1=94°, find corresponding ∠2.<br/><svg xmlns="http://www.w3.org/2000/svg" width="260" height="180" viewBox="0 0 260 180" role="img"><line x1="25" y1="48" x2="235" y2="48" stroke="#1f2937" stroke-width="2"/><line x1="25" y1="132" x2="235" y2="132" stroke="#1f2937" stroke-width="2"/><line x1="75" y1="15" x2="170" y2="165" stroke="#2563eb" stroke-width="2.5"/><text x="95" y="42" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">∠1</text><text x="144" y="125" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">∠2</text><text x="25" y="23" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">ℓ ∥ m</text></svg>
A. 94°
B. 102°
C. 86°
D. 110°
Correct Answer: A
Corresponding angles are equal for parallel lines, so ∠2=94°.
CSS - PMS - CCE - PCS - Mathematics
Geometry
Lines ℓ and m are parallel. If ∠1=87°, find corresponding ∠2.<br/><svg xmlns="http://www.w3.org/2000/svg" width="260" height="180" viewBox="0 0 260 180" role="img"><line x1="25" y1="48" x2="235" y2="48" stroke="#1f2937" stroke-width="2"/><line x1="25" y1="132" x2="235" y2="132" stroke="#1f2937" stroke-width="2"/><line x1="75" y1="15" x2="170" y2="165" stroke="#2563eb" stroke-width="2.5"/><text x="95" y="42" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">∠1</text><text x="144" y="125" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">∠2</text><text x="25" y="23" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">ℓ ∥ m</text></svg>
A. 95°
B. 103°
C. 79°
D. 87°
Correct Answer: D
Corresponding angles are equal for parallel lines, so ∠2=87°.
CSS - PMS - CCE - PCS - Mathematics
Geometry
Lines ℓ and m are parallel. If ∠1=80°, find corresponding ∠2.<br/><svg xmlns="http://www.w3.org/2000/svg" width="260" height="180" viewBox="0 0 260 180" role="img"><line x1="25" y1="48" x2="235" y2="48" stroke="#1f2937" stroke-width="2"/><line x1="25" y1="132" x2="235" y2="132" stroke="#1f2937" stroke-width="2"/><line x1="75" y1="15" x2="170" y2="165" stroke="#2563eb" stroke-width="2.5"/><text x="95" y="42" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">∠1</text><text x="144" y="125" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">∠2</text><text x="25" y="23" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">ℓ ∥ m</text></svg>
A. 96°
B. 80°
C. 88°
D. 72°
Correct Answer: B
Corresponding angles are equal for parallel lines, so ∠2=80°.
CSS - PMS - CCE - PCS - Mathematics
Geometry
Lines ℓ and m are parallel. If ∠1=73°, find corresponding ∠2.<br/><svg xmlns="http://www.w3.org/2000/svg" width="260" height="180" viewBox="0 0 260 180" role="img"><line x1="25" y1="48" x2="235" y2="48" stroke="#1f2937" stroke-width="2"/><line x1="25" y1="132" x2="235" y2="132" stroke="#1f2937" stroke-width="2"/><line x1="75" y1="15" x2="170" y2="165" stroke="#2563eb" stroke-width="2.5"/><text x="95" y="42" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">∠1</text><text x="144" y="125" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">∠2</text><text x="25" y="23" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">ℓ ∥ m</text></svg>
A. 81°
B. 65°
C. 89°
D. 73°
Correct Answer: D
Corresponding angles are equal for parallel lines, so ∠2=73°.
CSS - PMS - CCE - PCS - Mathematics
Geometry
Lines ℓ and m are parallel. If ∠1=66°, find corresponding ∠2.<br/><svg xmlns="http://www.w3.org/2000/svg" width="260" height="180" viewBox="0 0 260 180" role="img"><line x1="25" y1="48" x2="235" y2="48" stroke="#1f2937" stroke-width="2"/><line x1="25" y1="132" x2="235" y2="132" stroke="#1f2937" stroke-width="2"/><line x1="75" y1="15" x2="170" y2="165" stroke="#2563eb" stroke-width="2.5"/><text x="95" y="42" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">∠1</text><text x="144" y="125" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">∠2</text><text x="25" y="23" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">ℓ ∥ m</text></svg>
A. 66°
B. 82°
C. 58°
D. 74°
Correct Answer: A
Corresponding angles are equal for parallel lines, so ∠2=66°.
CSS - PMS - CCE - PCS - Mathematics
Geometry
Lines ℓ and m are parallel. If ∠1=59°, find corresponding ∠2.<br/><svg xmlns="http://www.w3.org/2000/svg" width="260" height="180" viewBox="0 0 260 180" role="img"><line x1="25" y1="48" x2="235" y2="48" stroke="#1f2937" stroke-width="2"/><line x1="25" y1="132" x2="235" y2="132" stroke="#1f2937" stroke-width="2"/><line x1="75" y1="15" x2="170" y2="165" stroke="#2563eb" stroke-width="2.5"/><text x="95" y="42" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">∠1</text><text x="144" y="125" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">∠2</text><text x="25" y="23" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">ℓ ∥ m</text></svg>
A. 75°
B. 67°
C. 59°
D. 51°
Correct Answer: C
Corresponding angles are equal for parallel lines, so ∠2=59°.
CSS - PMS - CCE - PCS - Mathematics
Geometry
Lines ℓ and m are parallel. If ∠1=52°, find corresponding ∠2.<br/><svg xmlns="http://www.w3.org/2000/svg" width="260" height="180" viewBox="0 0 260 180" role="img"><line x1="25" y1="48" x2="235" y2="48" stroke="#1f2937" stroke-width="2"/><line x1="25" y1="132" x2="235" y2="132" stroke="#1f2937" stroke-width="2"/><line x1="75" y1="15" x2="170" y2="165" stroke="#2563eb" stroke-width="2.5"/><text x="95" y="42" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">∠1</text><text x="144" y="125" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">∠2</text><text x="25" y="23" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">ℓ ∥ m</text></svg>
A. 44°
B. 52°
C. 68°
D. 60°
Correct Answer: B
Corresponding angles are equal for parallel lines, so ∠2=52°.
CSS - PMS - CCE - PCS - Mathematics
Geometry
Lines ℓ and m are parallel. If ∠1=45°, find corresponding ∠2.<br/><svg xmlns="http://www.w3.org/2000/svg" width="260" height="180" viewBox="0 0 260 180" role="img"><line x1="25" y1="48" x2="235" y2="48" stroke="#1f2937" stroke-width="2"/><line x1="25" y1="132" x2="235" y2="132" stroke="#1f2937" stroke-width="2"/><line x1="75" y1="15" x2="170" y2="165" stroke="#2563eb" stroke-width="2.5"/><text x="95" y="42" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">∠1</text><text x="144" y="125" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">∠2</text><text x="25" y="23" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">ℓ ∥ m</text></svg>
A. 45°
B. 61°
C. 37°
D. 53°
Correct Answer: A
Corresponding angles are equal for parallel lines, so ∠2=45°.