Question

Given Z VYX is bisected by YW, mZ VYX =(6r-18), and m2 VYW = 36. What is the value of r? A. 15 B. 30 C. 36 D. 72

Answer 1

A) 15

1) Let's sketch that

According to the Bisector Theorem, the bisected line equally divides the angle. So we can write:

∠VYW≅∠WYX

And:

6r-18 = 36+36

6r -18 = 72

6r= 90

r= 15