**First, construct a 60**^{o}angle and then bisect. The angle formed will be 30^{o}and again bisect this 30^{o}angle. The resultant angle will be 15^{o}.

Step 1:Draw a line using an ruler and name the point as O and L.

Step 2:Keeping O as center and with any radius measurement, draw an arc cutting the ray at point M using a compass.

Step 3:Taking M as center and with the same radius, draw an arc cutting the arc drawn at P.

Step 4:Taking M and P as center , draw an arcs of same radius to intersect at the point Q.

Step 5:Join the point Q and O, which makes an angle ofLOQ = 30 degree.

Step 6 :The line OQ intersect the arc at the point named as R.

Step 7: With R and M as center draw an arc with same radius or more than half of the measurement (RM).The arc intersect at the point S.

Step 8: Join OS,which makes an angleLOS 15 degree.

Step 9:15 Degree-angle