Answer:
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Both angles PQS and PRS intercept same arc PS, hence they have same measure:
Substitute values and solve for x:
- 5x + 1 = 8x - 41
- 8x - 5x = 1 + 41
- 3x = 42
- x = 14
Plug in the value of x into either angle measure:
The intercepted arc is twice the inscribed angle measure:
- mPS = 2*m∠PQS
- mPS = 2*71°
- mPS = 142°