Question

you are shown ∠opq below whose measure is 116°. draw an angle bisector of ∠opq by clicking a dragging a ray out from the vertex at p. click and drag to draw a ray from the yellow dot. to redraw, click and drag from the yellow dot again. m∠opq = 116°

Explanation:

Step1: Recall angle - bisector property

An angle bisector divides an angle into two equal parts.

Step2: Calculate the measure of each part

If $\angle OPQ = 116^{\circ}$, then each part after bisecting is $\frac{116^{\circ}}{2}=58^{\circ}$.

Answer:

The two new - formed angles each have a measure of $58^{\circ}$. (Note: This is the measure of the angles formed by the angle - bisector. The actual drawing cannot be done in this text - based format but the concept and angle measure are provided.)