In triangle XYZ, the bisector of angle YXZ meets YZ at W. If angle X = 60, angle Y = 45, and XW = 24, then find angle XWZ.
Y
W
X Z
Angle YXZ = 60°
Angle XYZ = 45°
So angle XZY = 180 - 60 - 45 = 75° = angle XZW
Since XW bisects angle YXZ.....then angle WXZ = 30°
Then in triangle XWZ ,angle WXZ = 30° and angle XZW = 75°
So angle XWZ = 180 - 30 - 75 = 75°
