Question

Point P is in the interior of ∠ OZQ. If m∠ OZQ = 125 and m∠ OZP = 62, what is m∠ PZQ?

A) 63 degrees
B) 63.5 degrees
C) 64 degrees
D) 64.5 degrees

Answer 1

To find the measure of angle PZQ, the measure of angle OZP is subtracted from the measure of angle OZQ (125 degrees - 62 degrees), which yields 63 degrees for angle PZQ.

Step-by-step explanation:

To find the measure of angle PZQ, we need to use the fact that the sum of the measures of angles in a plane that form a straight line is equal to 180 degrees. In this case, since P is inside angle OZQ, angles OZP and PZQ together form angle OZQ.

We are given

To find m∠ PZQ, we subtract the measure of angle OZP from the measure of angle OZQ:

m∠ PZQ = m∠ OZQ - m∠ OZP

m∠ PZQ = 125 degrees - 62 degrees

m∠ PZQ = 63 degrees

Therefore, the measure of angle PZQ is 63 degrees, which corresponds to option A.