Using a protractor, draw an angle of measure 72°. With this angle as given, draw angles of measure 36° and 54°.

The steps of the required construction are:

1) Draw ∠BAC=72° using a protractor. Using A as the center and radius less than AB and AC, draw a circular arc, intersecting AB and AC at D and E respectively.

2) Taking D as the center draw an arc of any radius greater than . Now, Taking E as the center and the keeping the same radius, draw another arc, intersecting the previous arc at F. Join AF, which intersects the arc DE at point G. ∠BAF=36°.

3) Taking G as the center draw an arc of any radius greater than . Now, Taking E as the center and keeping the same radius, draw another arc, intersecting the previous arc at H. Join AH.

4) ∠BAH=54°.