Question

Oak Street and Elm Street run parallel to each other. When Main Street

intersects them, it forms interior 26, measuring 70°. What is the measure of
24?

Answer 1

110°

Explanation:

a p e x

Answer 2

110°

Explanation:

The consecutive interior angles theorem states that when two parallel lines are cut by a transversal, the pair of angles formed which lie inside the parallel lines on the same side of the transversal are known as consecutive interior angles. This consecutive interior angles are supplementary (that is add up to 180°).

Therefore:

∠4 and ∠6 are consecutive interior angles. Hence:

∠4 + ∠6 = 180° (sum of co-interior angles)

∠4 + 70 = 180

∠4 = 180 - 70

∠4 = 110°