Question

In the above figure, m∠P = 125° and m∠Q = 5x. If angles P and Q are supplementary angles.

what is the value of x and the measure of angle Q?
A. x = 61, m∠ Q = 55°
B. x = 11, m∠Q = 16°
OC. x = 11, m&angle: Q = 55°
D. x = 43, m∠Q = 215°

Answer 1

9514 1404 393

Answer:

the correct choice is marked: x = 11; Q = 55°

Explanation:

If P and Q are supplementary, then ...

Q = 180° -P

Q = 180° -125°

Q = 55°

Then we have ...

5x = 55°

x = 11°