Question

The ray XZ is the angle bisector of ∠WXY and m∠WXY = 105°. Enter m∠WXZ. The measure of ∠WXZ is

Answer 1

Answer:

∠WXZ = 52.5

Step-by-step explanation:

Angle Bisector is the line that divides that angle into two equal parts.

Hence, Ray XZ divide the ∠WXY into two equal parts.

⇒ $\angle WXZ = \frac{1}{2} \angle WXY$

∴ $\angle WXZ =\frac{1}{2}\times105^{\circ}=52.5$

⇒ ∠WXZ = 52.5

Answer 2

<wxz + <zxy= <wxy

<wxy= 105


105/2= 52.5

52.5 + 52.5 = 105
105 = 105

m<wxz = 52.5