The measure of m<QPR is 40degrees
The point where two lines meet or intersect is known as an angle.
From the diagram shown, we can see that:
<QPR + RPS = m∠QPS
Given the following parameters
m∠QPS=90°
m∠QPR=7x−9
m∠RPS=4x+22
Substitute into the formula as shown:
7x−9+4x+22 = 90
Collect the like terms
7x+4x+13 = 90
11x = 90 - 13
11x = 77
x = 77/11
x = 7
Get m<QPR
m<QPR = 7x - 9
m<QPR = 7(7) - 9
m<QPR = 49 - 9
m<QPR = 40degrees
Hence the measure of m<QPR is 40degrees
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