draw a pair of tangents to a circle of radius 5cm which are inclined to each other at an angle of 60 degree...

Steps of construction:

1. Draw a circle with center O and radius OA = 5 cm.
2. Mark another point B on the circle such that ∠AOB = 120°, supplementary to the angle between the tangents. Since the angle between the tangents to be constructed is 60°.

          ∴ ∠AOB = 180° – 60° = 120°.  

      3. Construct angles of 90° at A and B and extend the lines to intersect at point P.

      4. Thus, AP and BP are the required tangents to the circle.