Question

Drawn an angle of measure ${30}^o$ and construct its bisector.

Answer 1

Step $1:$ Draw a line segment. Mark the left end as point $O$ and the right end as point $A$.

Step $2:$ Take the compass and open it up to a convenient radius. Place its pointer at $O$ and with the pencil-head make an arc which meets the line $OA$

Step $3:$ Place the compass pointer at $A$ and mark an arc with the same radius as $OA$ we get $D$

Step $4:$ Draw a line from $O$ through $D$.

We get the angle i.e. $\angle AOD=60$-degree angle.

A $30$-degree angle is the half of $60$-degree angle. For its construction, you first construct a $60$-degree angle as discussed above. Then, you bisect this angle. You get two $30$ degree angles.

Again $15$-degree angle is the half of $30$-degree angle. You get two $15$ degree angles.

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