    Question

# The correct formula(s) to find the measure of interior angle of a n−sided regular polygon is/are:

A
(n2)180on
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B
(n2)360on
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C
180oSum of exterior anglesn
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D
360oSum of exterio anglesn
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Solution

## The correct option is C 180o−Sum of exterior anglesnWe know that sum of interior angles =(n−2)×180o where n is the total number of sides. The polygon is regular. Hence, all the interior angles are of same measure. ∴ Measure of each angle =Sum of interior anglesTotal number of sides =(n−2)×180on ∴ Option (a) is correct. We know that sum of exterior angles of any polygon is 360o. For regular polygon, the interior angles are same in measure and the exterior angles are also same in measure. ∴ Each exterior angle is 360on Also, measure of interior angle =180o−measure of exterior angle =180o−360on Hence, option (c) is also correct.  Suggest Corrections  0      Similar questions  Explore more