9514 1404 393
Answer:
∠PRS = 142°
Explanation:
One can use the relationship between the exterior angle of a triangle and the remote interior angles. This lets you find x. Then evaluating the expression for angle PRS will give you the measure of the angle.
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(3x -8)° = 90° +(x +2)° . . . . exterior = sum of remote interior
2x = 100 . . . . . . . . add 8-x
x = 50 . . . . . . divide by 2
Then angle PRS is ...
∠PRS = (3x -8)° = (3·50 -8)°
∠PRS = 142°