How will you construct a 15° angle?

Answers (1)

First, we make 30^{\circ}, and then its bisector.

The steps of constructions are:

1. Draw a ray OA.

2. Taking O as the center and any radius of your own choice, draw an arc cutting OA at B.

3. Now, taking B as center and with the same radius as before, draw an arc intersecting the previously drawn arc at point C.

4. Draw the ray OD passing through the C.

Thus, \angle AOD = 60^{\circ}

Now, we draw bisector of \angle AOD

5. Taking C and D as the center, with radius more than \frac{1}{2}CD, draw arcs intersecting at E.

6. Join OE.

Thus, \angle AOE = 30^{\circ}

Now, we draw the bisector of \angle AOD

7. Mark point P where the ray OE intersects the arc.

8. Taking P and B as center, with having the radius more than \frac{1}{2}PB, draw arcs intersecting at F.

9. Join OF

Thus, \angle AOF = 15^{\circ}.

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