Question

If angle between the two tangents drawn from exterior point to circle is 115⁰ then measure of angle opposite to given angle formed between the radii of same circle is: __________degrees​

Answer 1

115° this is the answer

Answer 2

Answer:

Ap=BP ....(length of tangents from external point to circle are equal)

∠A=∠B=90

o

.... (Tangent is ⊥ to radius)

OP=OP .... (common side)

∴△AOP≅△BOP ....(RHS test of congruence)

∠APO=∠BPO=30

o

→c.a.c.t

∠AOP=∠BOP=60

o

→c.a.c.t

△AOP is 30

o

−60

o

−90

o

triangle.

∴△AOP,

cos60=

OP

OA

OP=

2

1

a

=2a