Question

QUESTION--: What should be the angle between the two tangents which is drawn at the end of two radii and are inclined at an angle of 45 degrees?Yar koi to explain kardo please.​

Answer 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

.

Answer 2

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