Question

Draw an angle of measure $135°$ and bisect it.

Answer 1

Step-1: Construct the required measure of angle:

• Draw a ray $OA$
• Place the center of the protractor on point $O$ and coincide the line $OA$with the protractor line.
• Mark $B$ on $135°$ and join $OB$. Thus $\angle AOB=135°$ is formed.

Step-2: Construct angle bisector:

• Taking any radius draw arcs intersecting the line segments $OA,OB$ and mark them as $C,D$ respectively.
• With $C$ and $D$ as centers and radius as more than half the distance between the points $C$ and $D$ draw arcs intersecting each other.

• Mark the intersecting point as $E$ and join it with $O$. Thus $OE$ is the bisector of $\angle AOB=135°$

Hence the required angle is drawn and bisected.