Question

in a polygon two angles are of 90degree each and remaining each angle is of 150 degree .find the number of sides of this polygon

Answer 1

Question

in a polygon two angles are of 90degree each and remaining each angle is of 150 degree .find the number of sides of this polygon

ANSWER

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Let the no. of sides of polygon be n

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CONCEPT TIME : The no. of angles in a polygon = No. of sides

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Sum of Interior Angles of the given polygon = 90° x 2 + (n-2) 150°

Because 2 angles are already 90°

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FORMULA TIME : Sum of Interior angles of a polygon with n sides = 180°(n-2)

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The Sum of Interior Angles will be a Constant

=> 180° (n-2) = 90° x 2 + (n-2) 150°

=> 180n - 360 = 180 + 150n -300

=> 180n - 360 = 150n - 120

=> 30n = 240

=> n = 8

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Hence NO. OF SIDES = 8

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