a regular pentagon has a perimeter of 40 cm. find its each side and also the measure of its each interior angle
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Answer:
each side will be 40/5=8.
The sum of all of the interior angles can be found using the formula S = (n - 2)*180
=(5-2) *180
=3*180
=540
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Given - Perimeter
Find - Side and each interior angle
Solution - The side is 8 cm and each interior angle is 108°.
Side of pentagon = perimeter/5
Side = 40/5
Side = 8 cm
Interior angle = (n-2)*180/n
Interior angle = (5-2)*180/5
Interior angle = 3*180/5
Interior angle = 3*36
Interior angle = 108°
So, side is 8 cm and each interior angle is 108°.
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