Answer:
x = 29
Explanation:
The whole circle is 360°.
Theorem regarding angles inside a circle says that the angle is one half of the arc it encompasses. So m∠S = 0.5 * arc PQR. Also m∠Q = 0.5 * arc PSR.
Think about this, arc PQS + arc RQS = 360°. We have a formula for each of these arc measurements in terms of x.
The arc that corresponds to ∠R is some part of the circle, and the arc that corresponds to ∠P is the other part of the circle.
(5x + 20) + (7x - 8) = 360
12x + 12 = 360
12x = 348
x = 29