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°.
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°.
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°.
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°.
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°.
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°.
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°.
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°.
Mathematics
Geometry
Two adjacent angles form a straight line. One is 113°. Find the other.<br/><svg xmlns="http://www.w3.org/2000/svg" width="260" height="180" viewBox="0 0 260 180" role="img"><line x1="55" y1="135" x2="220" y2="135" stroke="#1f2937" stroke-width="2"/><line x1="55" y1="135" x2="175" y2="45" stroke="#1f2937" stroke-width="2"/><text x="90" y="112" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">113°</text><text x="44" y="154" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">O</text></svg>
A. 67°
B. 77°
C. 57°
D. 87°
Correct Answer: A
A linear pair totals 180°: 180°−113°=67°.
Mathematics
Geometry
Two adjacent angles form a straight line. One is 104°. Find the other.<br/><svg xmlns="http://www.w3.org/2000/svg" width="260" height="180" viewBox="0 0 260 180" role="img"><line x1="55" y1="135" x2="220" y2="135" stroke="#1f2937" stroke-width="2"/><line x1="55" y1="135" x2="175" y2="45" stroke="#1f2937" stroke-width="2"/><text x="90" y="112" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">104°</text><text x="44" y="154" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">O</text></svg>
A. 86°
B. 96°
C. 66°
D. 76°
Correct Answer: D
A linear pair totals 180°: 180°−104°=76°.
Mathematics
Geometry
Two adjacent angles form a straight line. One is 95°. Find the other.<br/><svg xmlns="http://www.w3.org/2000/svg" width="260" height="180" viewBox="0 0 260 180" role="img"><line x1="55" y1="135" x2="220" y2="135" stroke="#1f2937" stroke-width="2"/><line x1="55" y1="135" x2="175" y2="45" stroke="#1f2937" stroke-width="2"/><text x="90" y="112" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">95°</text><text x="44" y="154" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">O</text></svg>
A. 95°
B. 85°
C. 105°
D. 75°
Correct Answer: B
A linear pair totals 180°: 180°−95°=85°.
Mathematics
Geometry
Two adjacent angles form a straight line. One is 86°. Find the other.<br/><svg xmlns="http://www.w3.org/2000/svg" width="260" height="180" viewBox="0 0 260 180" role="img"><line x1="55" y1="135" x2="220" y2="135" stroke="#1f2937" stroke-width="2"/><line x1="55" y1="135" x2="175" y2="45" stroke="#1f2937" stroke-width="2"/><text x="90" y="112" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">86°</text><text x="44" y="154" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">O</text></svg>
A. 114°
B. 84°
C. 104°
D. 94°
Correct Answer: D
A linear pair totals 180°: 180°−86°=94°.
Mathematics
Geometry
Two adjacent angles form a straight line. One is 77°. Find the other.<br/><svg xmlns="http://www.w3.org/2000/svg" width="260" height="180" viewBox="0 0 260 180" role="img"><line x1="55" y1="135" x2="220" y2="135" stroke="#1f2937" stroke-width="2"/><line x1="55" y1="135" x2="175" y2="45" stroke="#1f2937" stroke-width="2"/><text x="90" y="112" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">77°</text><text x="44" y="154" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">O</text></svg>
A. 103°
B. 123°
C. 113°
D. 93°
Correct Answer: A
A linear pair totals 180°: 180°−77°=103°.
Mathematics
Geometry
Two adjacent angles form a straight line. One is 68°. Find the other.<br/><svg xmlns="http://www.w3.org/2000/svg" width="260" height="180" viewBox="0 0 260 180" role="img"><line x1="55" y1="135" x2="220" y2="135" stroke="#1f2937" stroke-width="2"/><line x1="55" y1="135" x2="175" y2="45" stroke="#1f2937" stroke-width="2"/><text x="90" y="112" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">68°</text><text x="44" y="154" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">O</text></svg>
A. 102°
B. 132°
C. 112°
D. 122°
Correct Answer: C
A linear pair totals 180°: 180°−68°=112°.
Mathematics
Geometry
Two adjacent angles form a straight line. One is 59°. Find the other.<br/><svg xmlns="http://www.w3.org/2000/svg" width="260" height="180" viewBox="0 0 260 180" role="img"><line x1="55" y1="135" x2="220" y2="135" stroke="#1f2937" stroke-width="2"/><line x1="55" y1="135" x2="175" y2="45" stroke="#1f2937" stroke-width="2"/><text x="90" y="112" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">59°</text><text x="44" y="154" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">O</text></svg>
A. 111°
B. 131°
C. 121°
D. 141°
Correct Answer: C
A linear pair totals 180°: 180°−59°=121°.
Mathematics
Geometry
Two adjacent angles form a straight line. One is 50°. Find the other.<br/><svg xmlns="http://www.w3.org/2000/svg" width="260" height="180" viewBox="0 0 260 180" role="img"><line x1="55" y1="135" x2="220" y2="135" stroke="#1f2937" stroke-width="2"/><line x1="55" y1="135" x2="175" y2="45" stroke="#1f2937" stroke-width="2"/><text x="90" y="112" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">50°</text><text x="44" y="154" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">O</text></svg>
A. 120°
B. 130°
C. 140°
D. 150°
Correct Answer: B
A linear pair totals 180°: 180°−50°=130°.
Mathematics
Geometry
Two adjacent angles form a straight line. One is 41°. Find the other.<br/><svg xmlns="http://www.w3.org/2000/svg" width="260" height="180" viewBox="0 0 260 180" role="img"><line x1="55" y1="135" x2="220" y2="135" stroke="#1f2937" stroke-width="2"/><line x1="55" y1="135" x2="175" y2="45" stroke="#1f2937" stroke-width="2"/><text x="90" y="112" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">41°</text><text x="44" y="154" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">O</text></svg>
A. 129°
B. 159°
C. 149°
D. 139°
Correct Answer: D
A linear pair totals 180°: 180°−41°=139°.
Mathematics
Geometry
Two adjacent angles form a straight line. One is 32°. Find the other.<br/><svg xmlns="http://www.w3.org/2000/svg" width="260" height="180" viewBox="0 0 260 180" role="img"><line x1="55" y1="135" x2="220" y2="135" stroke="#1f2937" stroke-width="2"/><line x1="55" y1="135" x2="175" y2="45" stroke="#1f2937" stroke-width="2"/><text x="90" y="112" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">32°</text><text x="44" y="154" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">O</text></svg>
A. 168°
B. 138°
C. 148°
D. 158°
Correct Answer: C
A linear pair totals 180°: 180°−32°=148°.
Mathematics
Geometry
One angle formed by two intersecting lines is 98°. Find its vertically opposite angle.<br/><svg xmlns="http://www.w3.org/2000/svg" width="260" height="180" viewBox="0 0 260 180" role="img"><line x1="55" y1="135" x2="220" y2="135" stroke="#1f2937" stroke-width="2"/><line x1="55" y1="135" x2="175" y2="45" stroke="#1f2937" stroke-width="2"/><text x="90" y="112" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">98°</text><text x="44" y="154" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">O</text></svg>
A. 98°
B. 118°
C. 108°
D. 88°
Correct Answer: A
Vertically opposite angles are equal, so the angle is 98°.
Mathematics
Geometry
One angle formed by two intersecting lines is 91°. Find its vertically opposite angle.<br/><svg xmlns="http://www.w3.org/2000/svg" width="260" height="180" viewBox="0 0 260 180" role="img"><line x1="55" y1="135" x2="220" y2="135" stroke="#1f2937" stroke-width="2"/><line x1="55" y1="135" x2="175" y2="45" stroke="#1f2937" stroke-width="2"/><text x="90" y="112" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">91°</text><text x="44" y="154" style="font-family:Arial,sans-serif;font-size:13px;fill:#111;">O</text></svg>
A. 101°
B. 91°
C. 81°
D. 111°
Correct Answer: B
Vertically opposite angles are equal, so the angle is 91°.