Math, asked by Yananya1908, 6 months ago

The sum of interior angles of a regular polygon is 720".
Find the measure of each interior angle of the polygon.​

Answers

Answered by Anonymous
6

Given,

Sum of interior angles of a regular polygon is 720°.

To find,

The measurement of the each of the interior angles of the given regular polygon.

Solution,

First of all, we need calculate the number of sides.

We can use the sum of the interior angle formula.

Let, the number of sides of the regular polygon = n

(Assume, n as a variable to do the further mathematical calculations.)

So,

Sum of interior angles = (n-2)×180°

Or,

720 = (n-2)×180

(n-2) = 720/180

(n-2) = 4

n = 6

Number of sides = 6

It's a regular polygon so measurement of each angle will be equal.

Measurement of each angle = 720/6 = 120°

Hence, measurement of each interior angle is 120°.

Answered by mamta2997
3

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