Answer :

Sum of angles between the tangents and corresponding radius is 180°.

As the angle between the tangents is 70° so the angle between the radius will be (180° - 70°) =110°.

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 110° 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=70°.

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