Math, asked by kaurkhushpreet412, 19 days ago

If the angle between two radii of a circle is 100 degree, the angle between the tangents at the ends of those radii is​

Answers

Answered by Bhavy922
1

Answer:80°

Step-by-step explanation;

If the angle between two radii of a circle is 100 ∘ , the angle between the tangents at the ends of those radii is :

it is evident that ∠AOB=100 ∘ Now, ∠OAP=90 ∘ and ∠OBP=90° (radii is perpendicular to tangent at point of contact)

Also, sum of interior angles of a quadrilateral is 360 ∘ and hence,∠APB=360 ∘ −∠OAP−∠OBP−∠AOB=80 ∘

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