Question

Draw angles of the measures given below and draw their bisectors.

(1) 105^° (2) 55^° (3) 90^°

Answer 1

(1) 105°
Steps of Construction:
1. Draw a ray BC.
2. With B as centre, use a protractor to make an angle of 105°. Thus, $\angle$ABC = 105°.
3. With X and Y as centre, draw arcs intersecting each other at point M.
BM is the required angle bisector of $\angle$ABC.


(2) 55^°
Steps of Construction:
1. Draw a ray OX.
2. With O as centre, use a protractor to make an angle of 55°. Thus, $\angle$YOX = 55°.
3. With P and Q as centre, draw arcs intersecting each other at point A.
OA is the required angle bisector of $\angle$YOX.


(3) 90°
Steps of Construction:
1. Draw a ray OB.
2. With O as centre, use a protractor to make an angle of 90°. Thus, $\angle$AOB = 90°.
3. With X and Y as centre, draw arcs intersecting each other at point S.
OS is the required angle bisector of $\angle$AOB.