Question

Angle QPS is a straight angle

angle QPR = 7x-4 degrees
angle RPS = 9x-40 degrees

Find: angle QPR

Answer 1

94

Explanation:

We know that a straight line adds up to 180 degrees, and angle QPS, summed up by angles QPR and RPS, equals that.

Therefore,

angle QPS = QPR + RPS

180 = QPR + RPS

180 = 7x-4+9x-40

180 = 16x-44

224= 16x

x = 222/16 = 14

QPR = 7x-4 = 94