Parallel Lines & Transversals Examples

Lines i and k are parallel.

∠A = 120°.

What is the measure of angle B?

Angles A and B are supplementary, so they add up to 180°. This means the measure of ∠B = 180° – 120° or m∠B = 60° .

Lines i and k are parallel.

∠A = 120°

What is the relationship of angle C to angle A and what is the measure of angle C?

Angles A and C are vertical, so they are congruent. Since the measure of angle A is 120°, m∠C = 120°.

Lines i and k are parallel.

∠A = 120°

Name the angle that corresponds to angle B. What is its measurement?

Angles B and F are corresponding and they are congruent, so m∠B = m∠F = 60°.

Lines i and k are parallel.

∠A = 120°.

Name a pair of consecutive exterior angles.

Angles A and F as well as angles D and G are consecutive exterior angles.