A diagram is shown below.

Question

The ray Q-S divides a straight angle P-Q-R into angle P-Q-S measuring x degrees and angle R-Q-S measuring x minus 60 degrees.

Which equation can be solved to find the measure in degrees of ?

A.

B.

C.

D.

Answer 1

C.

Since angle P-Q-S + angle R-Q-S = angle P-Q-R, we can write the equation as:

x + (x - 60) = 180

Simplifying further:

2x - 60 = 180

2x = 240

x = 120

Thus, the measure of angle P-Q-S is 120 degrees.