Angles Formed by Parallel Lines and a Transversal Quiz

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Cierra is an educational consultant and curriculum developer who has worked with students in K-12 for a variety of subjects including English and Math as well as test prep. She specializes in one-on-one support for students especially those with learning differences. She holds an MBA from the University of Massachusetts Amherst and a certificate in educational consulting from UC Irvine.
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| Attempts: 26 | Questions: 20 | Updated: Jan 12, 2026
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1) If ∠x = 78° and it is a corresponding angle, what is the measure of its partner angle?

Explanation

Corresponding angles are equal.

So, partner corresponding angle = 78°.

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About This Quiz
Angles Formed By Parallel Lines And A Transversal Quiz - Quiz

Think you can spot angle patterns quickly? Here’s a quiz to test how well you know your angle rules when parallel lines are cut by a transversal. You’ll answer questions about corresponding, alternate interior, alternate exterior, and consecutive interior angles. Try spotting missing measures, checking for congruent pairs, and identifying... see morewhich angles are supplementary. By the end, you’ll see just how quickly you can recognize patterns and solve geometry questions like a pro!
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2) If ∠1 = 65° on a parallel line diagram, what is the measure of the corresponding angle?

Explanation

Corresponding angles on parallel lines are equal. So, the corresponding angle = 65°.
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3) Two parallel lines are cut by a transversal. If an exterior angle is 120°, what is the measure of the alternate interior angle?

Explanation

Alternate interior angles are equal. Opposite side angle = 120°.

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4) In the diagram, ∠x = 120°. What is the measure of the corresponding angle?

Explanation

Corresponding angles are equal.

So, corresponding angle = 120°.

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5) In a parallel-line diagram, one angle is 45°. What is the measure of its alternate exterior angle?

Explanation

Alternate exterior angles are equal, so angle = 45°

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6) If an angle measures 150°, what is the measure of its alternate exterior angle?

Explanation

Alternate exterior angles are equal.

So, alternate exterior angle = 150°.

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7) If two parallel lines are cut with a transversal, which type of angle pairs are always supplementary?

Explanation

Same-side (consecutive) interior angles sum to 180°.

So, consecutive interior angles are supplementary.

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8) Two parallel lines are cut by a transversal. If one angle is 70°, what is its vertical angle?

Explanation

Vertical angles are equal. Opposite angle to 70° = 70°.
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9) In a parallel-line diagram, ∠1 = 132°. What is the measure of the alternate interior angle?

Explanation

Alternate interior angles are equal.

So, alternate interior angle = 132°.

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10) If ∠a = 115° in a parallel line and transversal setup, what is the measure of the consecutive (same-side) interior angle?

Explanation

Same-side interior angles are supplementary. 115° + angle = 180°.

So, angle = 180° − 115° = 65°.

The consecutive interior angle is 65°

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11) A transversal cuts two parallel lines. ∠1 = 85°. Which other angle also equals 85°?

Explanation

Angles equal to 85° include corresponding, alternate interior, alternate exterior, and vertical. Among choices, only alternate exterior matches.

So, alternate exterior angle = 85°.

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12) In a parallel-line setup, ∠1 = 63°. Which angle is also 63°?

Explanation

Alternate interior angles are equal.

So, alternate interior angle = 63°.

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13) If ∠x = 100°, what is the measure of its consecutive interior angle?

Explanation

Same-side interior angles are supplementary. 100° + angle = 180°.

So, the consecutive interior angle is 80°.

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14) If one angle formed by a transversal is 40°, what is the measure of the linear pair angle next to it?

Explanation

Linear pair angles sum to 180°: 180 − 40 = 140°.

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15) A transversal creates ∠a = 118°. What is the measure of the linear pair angle next to it?

Explanation

Linear pairs are supplementary. 118° + angle = 180°.

So, the linear pair angle is 62°.

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16) If ∠m and ∠n are consecutive interior angles and ∠m = 75°, what is ∠n?

Explanation

Consecutive interior angles are supplementary: 180 − 75 = 105°.

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17) Which of the following statements is false about angles formed by parallel lines and a transversal?

Explanation

Consecutive interior angles are supplementary, not congruent.

So, “Consecutive interior angles are congruent” is false.

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18) Two parallel lines are cut by a transversal. If one angle is 55°, which of the following is also 55°?

Explanation

Vertical, corresponding, and alternate interior angles are all equal to the given angle in parallel lines.

So, all listed angle types equal 55°.

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19) If two lines are parallel and cut by a transversal, which statement is true?

Explanation

On parallel lines, corresponding angles always match in measure.

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20) If ∠m = 90° in a parallel-line setup, what is true about the transversal?

Explanation

If one angle is 90° and lines are parallel, the transversal is perpendicular to both.

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Cierra Henderson |MBA |
K-12 Expert
Cierra is an educational consultant and curriculum developer who has worked with students in K-12 for a variety of subjects including English and Math as well as test prep. She specializes in one-on-one support for students especially those with learning differences. She holds an MBA from the University of Massachusetts Amherst and a certificate in educational consulting from UC Irvine.
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If ∠x = 78° and it is a corresponding angle, what is the...
If ∠1 = 65° on a parallel line diagram, what is the measure of...
Two parallel lines are cut by a transversal. If an exterior angle is...
In the diagram, ∠x = 120°. What is the measure of the...
In a parallel-line diagram, one angle is 45°. What is the measure...
If an angle measures 150°, what is the measure of its alternate...
If two parallel lines are cut with a transversal, which type of angle...
Two parallel lines are cut by a transversal. If one angle is 70°,...
In a parallel-line diagram, ∠1 = 132°. What is the measure of...
If ∠a = 115° in a parallel line and transversal setup, what is...
A transversal cuts two parallel lines. ∠1 = 85°. Which other...
In a parallel-line setup, ∠1 = 63°. Which angle is also...
If ∠x = 100°, what is the measure of its consecutive interior...
If one angle formed by a transversal is 40°, what is the measure...
A transversal creates ∠a = 118°. What is the measure of the...
If ∠m and ∠n are consecutive interior angles and ∠m =...
Which of the following statements is false about angles formed by...
Two parallel lines are cut by a transversal. If one angle is 55°,...
If two lines are parallel and cut by a transversal, which statement is...
If ∠m = 90° in a parallel-line setup, what is true about the...
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