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The sum of a regular pentagon’s internal angles is 1440 degrees. Find the number of degrees in each angle in the polygon.

The sum of a regular pentagon’s internal angles is 1440 degrees. Find the number of-example-1
User Pobk
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2 Answers

3 votes
easy peasy
pentagon
gon=sides
penta=5
5 sides
therefor 5 internal angles
regular pentagon's angles are all equal
therefor
if a=measure of each angle
5a=total=1440
solve for a
5a=1440
dividie btoh sides by 5
a=288

288 degrees


User Subhransu Mishra
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3 votes
A pentagon has five (5) internal angles.

1/5 of 1440° is 288° .

But the sum of any pentagon's internal angles is 540°, not 1440°.
User Tenstan
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