Angles with Parallel Lines and Transversals

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1) Two parallel lines are cut by a transversal. If an exterior angle is 120°, what is the measure of the alternate interior angle?

Explanation

An exterior angle equals the interior angle vertically across, which corresponds to the alternate interior angle.

So, alternate interior angle = 120°.

The alternate interior angle is 120°

Submit
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About This Quiz
Angles With Parallel Lines And Transversals - 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! see less

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2) 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.

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

Explanation

Vertical angles are equal. Given angle = 70°.

So, vertical angle = 70°.

The vertical angle is 70°

Submit
4) If ∠1 = 65° on a parallel line diagram, what is the measure of the corresponding angle?

Explanation

Corresponding angles are equal when lines are parallel. ∠1 = 65°.

So, corresponding angle = 65°.

The corresponding angle is 65°

Submit
5) 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°.

The partner angle is 78°

Submit
6) 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°.

The alternate interior angle is 132°

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

Explanation

Same-side interior angles are supplementary. 75° + n = 180°.

So, n = 105°.

The other consecutive interior angle is 105°.

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

Explanation

Linear pairs are supplementary. 40° + angle = 180°.

So, angle = 140°.

The linear pair angle is 140°.

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

Explanation

Corresponding angles are equal.

So, corresponding angle = 120°.

The corresponding angle is 120°.

Submit
10) 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°.

The alternate exterior angle is 150°.

Submit
11) 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°.

Submit
12) 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.

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

Explanation

Alternate exterior angles are equal when lines are parallel.

So, alternate exterior angle = 45°.

The alternate exterior angle is 45°

Submit
14) 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°

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

Explanation

In parallel lines cut by a transversal, corresponding angles are equal.

Submit
16) 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°.

The other angle that equals 85° is the alternate exterior angle.

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

Explanation

Alternate interior angles are equal.

So, alternate interior angle = 63°.

The angle that is also 63° is the alternate interior angle.

Submit
18) 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, angle = 62°.

The linear pair angle is 62°.

Submit
19) 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.

So, the transversal is perpendicular to the parallel lines.

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

Explanation

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

So, angle = 80°.

The consecutive interior angle is 80°.

Submit
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Two parallel lines are cut by a transversal. If an exterior angle is...
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°,...
If ∠1 = 65° on a parallel line diagram, what is the measure of...
If ∠x = 78° and it is a corresponding angle, what is the...
In a parallel-line diagram, ∠1 = 132°. What is the measure of...
If ∠m and ∠n are consecutive interior angles and ∠m =...
If one angle formed by a transversal is 40°, what is the measure...
In the diagram, ∠x = 120°. What is the measure of the...
If an angle measures 150°, what is the measure of its alternate...
Two parallel lines are cut by a transversal. If one angle is 55°,...
Which of the following statements is false about angles formed by...
In a parallel-line diagram, one angle is 45°. What is the measure...
If ∠a = 115° in a parallel line and transversal setup, what is...
If two lines are parallel and cut by a transversal, which statement is...
A transversal cuts two parallel lines. ∠1 = 85°. Which other...
In a parallel-line setup, ∠1 = 63°. Which angle is also...
A transversal creates ∠a = 118°. What is the measure of the...
If ∠m = 90° in a parallel-line setup, what is true about the...
If ∠x = 100°, what is the measure of its consecutive interior...
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