Question

1. in the figure, ( mangle 2=mangle 6 ). what theorem can be used to prove that line ( a ) and line ( b ) are parallel? (lesson 4.3)

(1 point)
a converse of alternate exterior angles
b converse of corresponding angles
c converse of alternate interior angles
d converse of supplementary angles

Explanation:

When \(m\angle2 = m\angle6\), \(\angle2\) and \(\angle6\) are alternate interior angles. The converse of the Alternate Interior Angles Theorem states that if two lines are cut by a transversal and the alternate interior angles are congruent, then the two lines are parallel.

Answer:

C. Converse of Alternate Interior Angles