CONSTRUCT AN ANGLE OF 15 DEGREE. 

to draw a 15 deg angle.

steps of construction:

1. draw the arm PQ.

2. place the point of the compass at P and draw an arc that passes through Q.

3. place the point of the compass at Q and draw an arc that cuts the arc drawn in step 2 at R.

4. with the point of the compass still at Q, draw an arc near T as shown.

5. with the point of the compass at R, draw an arc to cut the arc drawn in step 4 at T. 

6. join PT and let it cuts the arc drawn in step 2 at A.

7. place the point of the compass at A and draw an arc near S as shown.

8. with the point of compass at Q, draw an arc to cut the arc drawn in step 7 at S.

9. join PS.

thus ∠SPQ = 15 deg

hope this helps you.

cheers!!