Question

Help!!!!!! Will give Brainlist answer!!!! 3 parts pls thank you so much

Answer 1

Part A
The small red arcs indicate that angles PQS and RQS are congruent.

13x - 1 = 2(6x + 4)

13x - 1 = 12x + 8

x = 9

m<PQR = 13x - 1 = 116

m<RQS = 6x + 4 = 6(9) + 4 = 58

m<PQS = 116 - 58 = 58

Part B

12^2 + (OH)^2 = 13^2

144 + (OH)^2 = 169

(OH)^2 = 25

OH = 5

r = OH = 5

Part C

WZ/ZY = WX/XY

24/12 = 30/XY

2 = 30/XY

2(XY) = 30

XY = 15