Question

select the correct answer. in the diagram, transversal l cuts parallel lines a and b. which equation is necessarily true? a. m∠1 = m∠7 b. m∠3 = m∠6 c. m∠5 + m∠8 = 90° d. m∠6 + m∠7 = 180°

Explanation:

Step1: Recall angle - pair relationships

When a transversal cuts parallel lines, alternate - interior angles are equal.

Step2: Identify alternate - interior angles

In the given diagram, $\angle3$ and $\angle6$ are alternate - interior angles.

Answer:

B. $m\angle3 = m\angle6$