Question

Which angles must be congruent?

a. ∠3 and ∠6
b. ∠2 and ∠7
c. ∠5 and ∠8
d. ∠4 and ∠6

Answer 1

The angles that must be congruent are ∠5 and ∠8.

Step-by-step explanation:

In this question, angles ∠3, ∠6, ∠2, and ∠7 are located along a circle, while ∠5 and ∠8 are on a straight line. Since angles on a straight line add up to 180 degrees, ∠5 and ∠8 must be congruent. Therefore, the correct answer is c. ∠5 and ∠8.