given m∠RPS=3x-38° m∠QPR=7x-95° find m ∠QPR

Answer:
m∠QPR = 31°
Step-by-step explanation:
So, let's keep in mind that QPS = 47 Degrees
Given that, we find that 3x - 38 + 7x - 95 = 47
from this, 10x - 133 = 47
then => 10x = 180
x = 18
So now we plug it in
--> 3(18) - 38 = RPS
54 - 38 = 16
RPS = 16 Degrees
--> 7(18) - 95 = QPR
126 - 95 = QPR
QPR = 31 Degrees
and Thus, m angle QPR is equal to 31 Degrees
Checks:
16 + 31 = 47
Total = 47
So it is correct
Hope this helps!