Chapter CSB1.9, Problem 2E

To determine

To construct: The angle bisector of the given figure.

Explanation of Solution

Given:

A figure is given as shown:

  

An angle bisector is the line segment, which divides the angle into two equal parts.

We need to bisect the $<SZT$

Place the compass point on the vertex of the angle point $Z$. Stretch the compass and draw arc on $ZS$ and $ZT$ .

  

Now, we have two intersection points, those are $K$ and $L$ .Place the compass on the point $K$ and make an arc. Now, place the compass on the intersection point $L$ and make a similar arc.

  

The two small arcs should be intersecting. Let the intersection point is $J$ of the two arcs.

Connect the point $Z$ with the intersection point is $J$ of the arcs.

  

The line segment $ZM$ divides $<SZT$ into two equal angles $<SZM$ and $<TZM$ .