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