Question

In triangle XYZ, YM is the angle bisector of ∠Y and ∠Y is 100°. Find ∠XYM and ∠ZYM.

Answer 1

Given YM is the angle bisector of ∠Y.
also ∠Y = 100°

Angle -bisector divides the angle into two congruent angles.

∠XYM = ∠ZYM

∠Y = ∠XYM + ∠ZYM

100° = ∠XYM + ∠ZYM [∴ ∠XYM = ∠ZYM]

2 ∠XYM = 100°

∠XYM = 1/2 (100°)

∠XYM = 50°

∴ ∠ZYM = 50°