Question

If the sum of interior angle measures of a polygon is 720, how many sides does the polygon have?

Answer 1

Since the interior is 720 divide it by 180 and you will get 4 so 4=n-2 where the n means number of sides. Move the 4 over to n=4+2 and you get n=6

Answer 2

The polygon has 6 sides.

How to calculate the sum of the interior angle of a polygon?

The sum of the interior angle of a polygon can be calculated from the side of the polygon by using the formula below,

If the polygon has n sides then the sum of the interior angles of the polygon will be =(n-2)π

where n is the no. of sides of the polygon.

here in the question,

Given that the sum of interior angles of the polygon is 720°

let's assume the no. of sides that polygon has =n

then using the above formula

sum of interior angles of the polygon is= 720°

⇒(n-2)π=720°

⇒(n-2)180°=720°

⇒(n-2)=720°/180°

⇒(n-2)=4

⇒n=4+2

⇒n=6

Therefore the polygon has 6 no. of sides.

Learn more about the sum of interior angles of polygon

here: https://brainly.com/question/224658

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