Question

you are shown ∠hij below whose measure is 46°. draw an angle bisector of ∠hij by clicking and dragging a ray out from the vertex at i. click and drag to draw a ray from the yellow dot. to redraw, click and drag from the yellow dot again. m∠hij = 46°

Explanation:

Step1: Recall angle - bisector definition

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

Step2: Calculate the measure of each sub - angle

Since the measure of $\angle HIJ = 46^{\circ}$, and an angle - bisector divides it into two equal parts, each part has a measure of $\frac{46^{\circ}}{2}=23^{\circ}$. To draw the angle - bisector, use a protractor to measure an angle of $23^{\circ}$ from either $\overrightarrow{IH}$ or $\overrightarrow{IJ}$ at vertex $I$.

Answer:

Draw a ray from vertex $I$ such that it divides $\angle HIJ$ into two angles of $23^{\circ}$ each.