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Q.

How many obtuse angles are there in a regular pentagon?

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a

2

b

5

c

3

d

1 

answer is B.

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Detailed Solution

Formula to find the sum of interior angles of a pentagon is 180°(n-2) where n=sides of pentagon.
{"mathml":"<math class="image_resized" style="width:104px;height:91px"><span>We know that, a regular pentagon has all </span><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>5</mn></math><span> angels equal to one another.</span><br><img 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" width="60" height="63" alt= each angle
∴ There are 5 equal obtuse angles.
     
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