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: Draw circle with centre O and radius OA = 5 cm, . 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.