Question

two parallel lines, g and h, are cut by the transversal d as shown. suppose m∠1 = 75°. complete the statements below. we see that ∠1 and ∠2 are vertical angles. thus, ∠1 and ∠2 are choose one. so, m∠2 = ☐°. we see that ∠2 and ∠3 are choose one.

Explanation:

Step1: Recall Vertical Angles Property

Vertical angles are equal in measure. So if \( \angle 1 \) and \( \angle 2 \) are vertical angles, their measures are equal.
Given \( m\angle 1 = 75^\circ \), so \( m\angle 2 = m\angle 1 = 75^\circ \).

Answer:

\( 75 \)