the angle between the two tangents of a circle is 115⁰.the angle between the two radii to draw the two tangents at the ends of the radii is
a. 65⁰ b. 115⁰ c.75⁰ d.55⁰
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Answer:
Correct option is
A
50
We know tangents are ⊥ to radius at point of contact.
∴ ∠CAO=∠CBO=90
o
Now in quadrilateral ABC,
⇒ ∠1+∠2+∠3+∠4=360
o
[ Sum of four angles of a quadrilateral is 360
o
⇒ ∠1+90
o
+90
o
+130
o
=360
o
⇒ ∠1+310
o
=360
o
⇒ ∠1=360
o
−310
o
∴ ∠1=50
o
∴ Required measure of an angle is 50
o
.
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