Question

you are shown ∠cde below whose measure is 114°. draw an angle bisector of ∠cde by clicking a dragging a ray out from the vertex at d. click and drag to draw a ray from the yellow dot. to redraw, click and drag from the yellow dot again. m∠cde = 114°

Explanation:

Step1: Recall the definition of an angle - bisector

An angle - bisector divides an angle into two equal parts.

Step2: Calculate the measure of each part

If m∠CDE = 114°, and an angle - bisector divides it into two equal parts, then the measure of each part is $\frac{114^{\circ}}{2}=57^{\circ}$.

Answer:

The measure of each of the two angles formed by the angle - bisector of ∠CDE is 57°.