(i) Drawing ∠60°
Step 1 : Draw a line segment AB. Now taking a suitable radius put the tip of compasses on A and draw an arc cutting AB at point P.
Step 2 : Put the tip on P and draw another arc of same radius intersecting the previous arc. Mark Q on pointed intersection.
Step 3 : Joining A and Q, we have ∠QAB = 60°.
(ii) Drawing ∠120°
Step 1 : Continuing with the previous steps, put the tip of compasses on Q and draw one more arc of the same radius, which intersects the previous are at point R.
Step 2 : Joining AR we get ∠RAB = 120°.
(iii) Drawing ∠180°
Continuing the steps of the above question (ii).
Step 1 : Draw an arc of the same radius with the tip of compasses on R which intersects the previous are at point S.
Step 2 : Joining SA, we get ∠SAB = 180°.
(iv) Drawing ∠90°
(v) Drawing ∠45°.
∠45° can be constructed by bisecting ∠90°.
