Question

Construct an angle bisector to draw an angle of 45°

Answer 1

For getting measurement of 45° (for the bisected angle), one has to make an angle of 90° (i.e. 45° × 2). 

Step 1:

Draw ∠PQR of 90°.

Step 2: 

Cut arcs on the rays QP and QR. 

Name these points as M and N respectively.

Step 3: 

Place the compass point on point M and draw an arc inside the angle.

Without changing the distance of the compass, place the compass point on point N and cut the

Step 4: 

Draw ray QO. 

Ray QO is the angle bisector of ∠PQR. 

i.e. m∠PQO = m∠RQO = 45°