Answer:
Option D. 150°
Step-by-step explanation:
In an isosceles triangle WXY, ∠YWX and ∠YXW are the base angles.
YZ is the bisector of ∠WYX.
m∠XYZ = 15x° and m∠YXZ = (2x + 5)°
We have to find the measure of ∠WYX.
Since ΔWXY is an isosceles triangle therefore YZ which is a bisector of ∠WYX will be perpendicular to XW.
Therefore ∠YXW + ∠XYZ + ∠YZX = 180°
15x + 2x + 5 + 90 = 180
17x + 95 = 180
17x = 180 - 95 = 85
x = 85/17 = 5
Therefore ∠WYX = 2×∠XYZ = 2×(15x) = 30×5 = 150°
Answer is ∠WYX = 150°
