Question

Line QR bisects angle PQS. Solve for x and find measure PQS:
m

Answer 1

full question is as follow

Line QR bisects angle PQS. Solve for x and find measure PQS:
m<PQS = 4x - 6, m<PQR = x + 11 ...?

m<PQR = (1/2) (m<PQS) = (1/2)( 4x - 6)

so x + 11 = 2x - 3 implies x =14

and then m<PQS = 4x - 6 =50°