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Ray QS bisects <PQR. Solve for X and find m<PQR

m<PQR= x+3
m<PQS= 4x- 14

can someone help me set up this problem and how to solve it?

3 answers

1/2 (x+3) = 4x - 14
x + 3 = 8x - 28
31 = 7x
x = 31/7

angle PQR = x + 3 = 31/7 + 3 = 52/7
angle PQS = 4(31/7) - 14 = 26/7 , which is half of 52/7
showing my answer is correct
4 x - 14 = (1/2) (x+3)
8 x - 28 = x + 3
7 x = 31
x = 31/28
sorry 31/7
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