Question

If qv−→− bisects ∠pqr, what is the measure of ∠pqv?

a) ∠pqr/2
b) ∠pqr/3
c) ∠pqr/4
d) ∠pqr/5

Answer 1

The measure of ∠pqv is half of the measure of ∠pqr since qv→ bisects ∠pqr, making the correct answer a) ∠pqr/2.

Step-by-step explanation:

If qv→ bisects ∠pqr, meaning it divides the angle into two equal parts, then the measure of ∠pqv would be half that of ∠pqr. This is because the definition of bisecting an angle is to split it into two congruent (equal) angles. So, the measure of ∠pqv is ∠pqr/2, which corresponds to option a) ∠pqr/2.