Question

if $overrightarrow{zx}$ is an angle bisector of $angle wzy$, find $mangle wzy.
mangle wzy = 15^{circ}
mangle wzy = 35^{circ}
mangle wzy = 55^{circ}
mangle wzy = 70^{circ}$

Explanation:

Step1: Recall angle - bisector property

An angle bisector divides an angle into two equal angles. So if $\overrightarrow{ZX}$ is the angle - bisector of $\angle WZY$, then $\angle WZX=\angle XZY$. Given $\angle WZX = 35^{\circ}$, so $\angle XZY=35^{\circ}$.

Step2: Calculate $\angle WZY$

$\angle WZY=\angle WZX+\angle XZY$. Since $\angle WZX = 35^{\circ}$ and $\angle XZY = 35^{\circ}$, then $\angle WZY=35^{\circ}+35^{\circ}=70^{\circ}$.

Answer:

$m\angle WZY = 70^{\circ}$