Question

13 Construct a pair of tangents to a circle of radius 5 cm which are inclined each other at 120 degree
​

Answer 1

Step-by-step explanation:

1)Draw circle with centre 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 so as to intersect at point P.

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