Question

you are shown ∠abc below whose measure is 86°. draw an angle bisector of ∠abc by clicking a dragging a ray out from the vertex at b. click and drag to draw a ray from the yellow dot. to redraw, click and drag from the yellow dot again. m∠abc = 86°

Explanation:

Step1: Recall angle - bisector property

An angle bisector divides an angle into two equal parts.

Step2: Calculate the measure of each part

If $\angle ABC = 86^{\circ}$, and $BD$ is the angle - bisector of $\angle ABC$, then $\angle ABD=\angle DBC=\frac{86^{\circ}}{2}=43^{\circ}$.

Answer:

Each of the two angles formed by the angle - bisector of $\angle ABC$ has a measure of $43^{\circ}$.