Question

if yz bisects ∠uvx, find m∠wvu.
a) 36°
b) 40°
c) 38°
d) 32°
e) 34°

Explanation:

Answer:

Since \(YZ\) bisects \(\angle UVX\), then \(5x + 18=8x - 15\).
\[

$$\begin{align*} 8x-5x&=18 + 15\\ 3x&=33\\ x&=11 \end{align*}$$

\]
\(m\angle UVZ=5x + 18=5\times11+18=55 + 18=73^{\circ}\)
\(m\angle WVU = 180-(2\times73)=180 - 146=34^{\circ}\)
E. \(34^{\circ}\)