8. Angle bisector of an angle

 

 

Follow the below steps, construct the bisector of the \(∠ABC\) with the measure \(60°\).

 

Step 1: Draw the given angle \(∠ABC\) with the measure \(60°\) using the protractor.

 

 

Step 2: Taking \(A\) as centre and convenient radius, draw an arc to cut \(AB\) and \(AC\). Mark the points of intersection as \(E\) on \(AB\) and \(F\) on \(AC\).

 

 

With the same radius and \(E\) as centre, draw an arc in the interior of \(∠CAB\) and another arc of same measure with centre at \(F\) to cut the previous arc.

 

\(AG\) is the required bisector of the given angle \(∠CAB\).

 

 

Mark the point of intersection as \(G\). Draw a ray \(AX\) through \(G\).