Question

you are shown ∠vwx below whose measure is 98°. draw an angle bisector of ∠vwx by clicking a dragging a ray out from the vertex at w. click and drag to draw a ray from the yellow dot. to redraw, click and drag from the yellow dot again. m∠vwx = 98°

Explanation:

Step1: Recall angle - bisector property

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

Step2: Calculate the measure of each part

If the measure of $\angle VWX = 98^{\circ}$, and we want to find the measure of the two angles formed by its bisector, we divide the measure of $\angle VWX$ by 2. Let the measure of each part be $x$. Then $x=\frac{98^{\circ}}{2}=49^{\circ}$.
To draw the angle - bisector, using a protractor (virtually in this case), place the center of the protractor at vertex $W$. Mark a point at an angle of $49^{\circ}$ from one of the rays (either $\overrightarrow{WV}$ or $\overrightarrow{WX}$) and draw a ray from $W$ through this marked point.

Answer:

Draw a ray from vertex $W$ such that it divides $\angle VWX$ into two angles of measure $49^{\circ}$ each.