Construct the angles of the following measurements:
Given : A rayOA
Required : To construct an angle of
at 0.Steps of Construction:
1. Taking O as centre and some radius, draw an arc of a circle, which intersects OA, say at a point B.
2. Taking B as centre and with the same radius as before, draw an arc intersecting the previously drawn arc, say at a point C.
3. Taking C as centre and with the same radius as before, draw an arc intersecting the arc drawn in step 1, say at D.
4. Draw the ray OE passing through C. Then ∠EOA = 60°.
5. Draw the ray OF passing through D. Then ∠FOE = 60°.
6. Next, taking C and D as centres and with radius more than 
CD, draw arcs to intersect each other, say at G.
7. Draw the ray OG. This ray OG is the bisector of the angle FOE, i.e.,
8. Now, taking O as centre and any radius, draw an arc to intersect the rays OA and OG, say at H and I respectively.
9. Next, taking H and I as centres and with the radius more than 
HI, draw arcs to intersect each other, say at J.
10. Draw the ray OJ. This ray OJ is the bisector of the angle GOA.
11. Now, taking O as centre and any radius, draw an arc to intersect the rays OA and OJ, say at K and L respectively.
12. Next, taking K and L as centres and with the radius more than 
KL, draw arcs to intersect each other, say at M.
13. Draw the ray OM. This ray OM is the bisector of the angle AOJ, i.e., ∠JOM = ∠AOM
