Question

Which of the following is the measure of

XBA if ray
BA bisects
XBY, which measures 86°?

A. 43°

B. 38°

C. 86°

D. 172°

Answer 1

The angle measure of ∆XBA is 43°, as ray BA bisects the 86° angle of ∆XBY equally into two angles.

Step-by-step explanation:

The measure of ∆XBA when ray BA bisects ∆XBY, which measures 86°, is 43°. The bisecting ray divides ∆XBY into two congruent angles, each half of 86°. Therefore, ∆XBA, being one of those angles, measures 43°, which corresponds to option A.