Angles with Parallel Lines Practice

Front

What are corresponding angles when two parallel lines are cut by a transversal?

Back

Corresponding angles are pairs of angles that are in the same position on two different parallel lines cut by a transversal. They are equal in measure.

Front

Define alternate interior angles in the context of parallel lines and a transversal.

Back

Alternate interior angles are pairs of angles that lie between the two parallel lines but on opposite sides of the transversal. They are equal in measure.

Front

What are consecutive interior angles?

Back

Consecutive interior angles are pairs of angles that lie between the two parallel lines on the same side of the transversal. They are supplementary, meaning their measures add up to 180°.

Front

If two parallel lines are cut by a transversal, what can be said about the measures of the exterior angles?

Back

The exterior angles that are on opposite sides of the transversal are equal in measure.

Front

What is the relationship between the angles formed when a transversal intersects two parallel lines?

Back

The angles formed have specific relationships: corresponding angles are equal, alternate interior angles are equal, and consecutive interior angles are supplementary.

Front

Find m∠C if ∠C and ∠D are corresponding angles and ∠D = 116°.

Back

m∠C = 116°.

Front

If lines a and b are parallel and angle 1 = 120°, what is the measure of angle 2, which is an alternate interior angle?

Back

m∠2 = 120°.

Front

Calculate the value of x if two parallel lines are cut by a transversal and the measure of one of the consecutive interior angles is 60°.

Back

x = 120°.

Front

What is the measure of angle 8 if angle 1 is 120° and they are consecutive exterior angles?

Back

m∠8 = 60°.

Front

Given two parallel lines cut by a transversal, if m∠8 = 76°, what is the measure of angle 4, which is a corresponding angle?

Back

m∠4 = 76°.