Question

What’s the answer to this question?

Answer 1

sum of interior is 540 and exerior is 360

Explanation:

The sum of interior angles of a regular polygon = (n-2)180⁰

where n= number of sides of the Pentagon= 6

= (5-2)×180⁰ = 3 × 180 = 540⁰

sum of exterior angles= 360⁰

Answer 2

180

Explanation:

To solve use these two formulas:

The interior angle of the polygon formula: (n-2)180/n

The exterior angle of the polygon formula: 360/n

When n is the number of sides in the polygon.

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To solve for the interior angles insert 5 for n and solve:

`((n-2)180)/(n) \\\\((5-2)180)/(5) \\\\((3)180)/(5) \\\\(540)/(5) \\\\108`

To solve for the exterior angles insert 5 for n and solve:

`(360)/(n)\\\\(360)/(5)\\\\72`

Then add two products:

`108+72=\\\\180`