Question

Draw an angle of ${40}^{\circ }$ Copy its supplementary angle.

Answer 1

Steps of construction:

(a) Draw an angle of ${40}^{\circ }$ with the help of protractor, naming $\angle AOB$
(b) Draw a line PQ.
(c) Take any point M on PQ.
(d) Place the compasses at O and draw an arc to cut the rays of $\angle AOB$ at L and N.
(e) Use the same compasses setting to draw an arc with M as centre, cutting MQ at X.
(f) Set your compasses to length LN with the same radius.
(g) Place the compasses at X and draw the arc to cut the arc drawn earlier at Y.
(h) Join MY. Thus, $\angle QMY={40}^{\circ }$ and $\angle PMY$ is supplementary of it