Math, asked by patilbhagya32, 2 months ago

In a circle if the angle between two radii is 120⁰. Then find the angle of inclination between the pair of tangents drawn to circle.
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Answers

Answered by nishant10e2005
1

Answer:

The answer is present in the above image provided.

Attachments:
Answered by kinght81
1

Answer:

Given- O is the centre of a circle to which a pair of tangents PQ&PR from a point P touch the circle at Q&R respectively. ∠RPQ=60

o

.

To find out- ∠ROQ=?

Solution- ∠OQP=90

o

=∠ORP since the angle, between a tangent to a circle and the radius of the same circle passing through the point of contact, is 90

o

. ∴ By angle sum property of quadrilaterals, we get ∠OQP+∠RPQ+∠ORP+∠ROQ=360

o

⟹90

o

+60

o

+90

o

+∠ROQ=360

o

⟹∠ROQ=120

o

Step-by-step explanation:

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