5. Construct the angles of the following measurements:

15°

15°

Given: A ray OA.

Required: To construct an angle of 15° at O.
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. Draw the ray OE passing through C.

Then ∠EOA = 60°.

4. Now, taking B and C as centres and with the radius more than  BC, draw arcs to intersect each other, say at D.

5. Draw the ray OD intersecting the arc drawn in step 1 at F. This ray OD is the bisector of the angle EOA, i.e., ∠EOD = ∠AOD

6. Now, taking B and F as centres and with the radius more than  BF, draw arcs to intersect each other, say at G.
7. Draw the ray OG. This ray OG is the bisector of the angle AOD, i.e., ∠DOG =