Question

you are shown ∠vwx below whose measure is 92°. draw your best estimate of an angle bisector of ∠vwx by clicking and dragging a ray out from the vertex at w. to be marked correct, your drawing must be within 5° of the correct bisector. click and drag to draw a ray from the yellow dot. to redraw, click and drag from the yellow dot again.

Explanation:

Step1: Recall angle - bisector concept

An angle bisector divides an angle into two equal parts.

Step2: Calculate the measure of each part

If $\angle VWX = 92^{\circ}$, then the measure of each part after bisecting is $\frac{92^{\circ}}{2}=46^{\circ}$.

Step3: Determine the acceptable range

The correct bisector is at $46^{\circ}$. The acceptable range is from $46 - 5=41^{\circ}$ to $46 + 5 = 51^{\circ}$. So, draw a ray from vertex $W$ such that the angle it makes with one of the rays ($\overrightarrow{WV}$ or $\overrightarrow{WX}$) is between $41^{\circ}$ and $51^{\circ}$.

Answer:

Draw a ray from $W$ such that the angle it makes with one of the sides of $\angle VWX$ is between $41^{\circ}$ and $51^{\circ}$.