Q.

If the angle formed by two radii of a circle is 100° , the angle between the tangents at the ends of those radii is ____.

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a

60°

b

50°

c

80°

d

90°

answer is B.

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Detailed Solution

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Here, two radii and corresponding tangents at the ends of those radii form a quadrilateral.

Tangents are at a right angle to the radius.

As we know that the sum of all angles in a quadrilateral is 3600.

x + 90+100+90 = 3600

x + 280 = 3600

x = 3600 - 2800 

x = 800

Hence, the angle between the tangents at the ends of those radii is 800.

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