Question

Given that lines a and b are parallel, what angles formed on line b when cut by the transversal are congruent with ∠3?

A) ∠5 and ∠6
B) ∠5 and ∠7
C) ∠6 and ∠7
D) ∠6 and ∠8

Answer 1

C) 6 and 7.

angles that are opposite to each other are congruent.

Answer 2

C) ∠6 and ∠7

Explanation:

We have been given that lines a and b are parallel. We are asked to find the angle on line b that will be congruent to angle 3.

We can see that angle 3 is under the line a and on the left side of transversal.

We know that the corresponding angles and alternate interior angles formed by two parallel lines are equal.

We can see that angle 7 corresponds to angle 3 and angle 6 is alternate interior angle of angle 3.

Therefore, angle 7 and angle 6 will be congruent with angle 3 and option C is the correct choice.