Find the measure of angle QPR.
Given
m m m Find m

Since Angle QPS is a straight angle, it equals 180 degrees.

Angles QPR and RPS equal QPS.

Angle QPR + Angle RPS = QPS

(7x-4) + (9x-40) = 180

x=14

x = 10.1

step-by-step explanation:

all of the angles of a tirangle add up to 180º

180 - 65 = 115 (since we already know the value of one angle)

(2x + 7) + (8x + 7) = 115

(combins like terms) 10x + 14 = 115

(isolate the variable subtract 14 from both sides): 10x = 101

(find the variable divide both sides by 10): x = 101/10

x = 10.1