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The sum of the interior angle measures of a convex polygon is 540° . How many sides does it have?

User Skgbanga
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1 Answer

3 votes

Answer:

5 sides

Explanation:

A polygon includes the shape pentagon which has 5 sides.

If n are number of sides of a convex polygon, sum of its interior angles is 540 degrees.

As in given case sum of interior angles is 540°, we have

( n − 2 ) × 180 ° = 540°

When we solve this equation, we get 5 sides.

We can check this by plugging 5 into n, so the equation is

(5 - 2) x 180° = 540, this becomes...

3 x 180 = 540; this is correct so you answer is 5 sides.

User Giuseppe Pes
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