Take a point O and draw a circle of radius, 2.4 cm. Draw two radii OA and OB inclined to each other at 60°. Construct tangents at points A and B which intersect at point T. Measure angle ATB.

Question

Philoid · Accepted Answer

Steps of Construction:

1. Draw a circle with center O and radius 2.4cm.

2. Draw a radius OA of this circle.

3. Draw another radius OB which is 60° to OA.

4. Extend OA such that OA=AP.

5. Draw a perpendicular bisector of OP.

6. Extend OB such that OB=OQ.

7. Draw a perpendicular bisector of OQ.

8. The two perpendicular bisectors meet at T.

9. ∠ATB=120°.