inLet's draw XY bisecting ∠WXZ, to make a clear picture of the scenario:
Let,
d = Distance
Bisecting an angle will result into two congruent angles. When it comes to the distance, each arm of the angle and the endpoint of the bisecting line must be equidistant.
Let's check each of the given to see which is correct.
a.) Point Y is equidistant from WX and WZ.
Answer: Wrong. WZ isn't an arm of the angle WXZ. It's also not given that the distance between WX and WZ is equal.
b.) Point Y is equidistant from XW and XZ.
Answer: Correct. XW and XZ are both arms of the angle WXZ. After bisecting, the distance between XW and Y and Y and XZ must be equidistant.
Therefore, the answer is letter B.
