Question

Which of the following is the measure of xba if ray ba bisects xby which measures 86 degrees

Answer 1

The measure of angle xba is 43°

Explanation:

we know that

If ray ba bisects the angle xby, then the measure of angle xby is divided into two equal angles

see the attached figure to better understand the problem

so

∠xba=∠aby

∠xba+∠aby=∠xby

we have

∠xby=86°

therefore

∠xba=∠xby/2=86°/2=43°