Question

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Q. Prove: sum of all angles in pentagon = 540 degree.
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Answer 1

Answer:

proved

Step-by-step explanation:

let the angle be X. angles of a pentagon = 5.

Sum of angle :-

X + X + X + X + X = 540

5x = 540

x = 540/5

x = 108.

Sum of the angles = 108+108+108+108+108 = 540.

Hence, proved

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Answer 2

Sum of all angles of a polygon = (n - 2)*180

Where n = number of sides

Given:

A pentagon has 5 sides.


Sum of all angles of a pentagon = (5 - 2)*180 = 3*180 = 540.

This formula can be used for any close sided polygon.