Construction: Q. Draw a pair of tangents to a circle of radius 5 cm, which are inclined at an angle of 60 degree.

Steps of construction:

 
  1. Draw circle with centre O and radius OA = 5 cm, .
  1. 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 so as to intersect at point P.
      4. Thus, AP and BP are the required tangents to the circle.

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