Question

Find the number of sides of a polygon whose sum of interior angles is 720º​

Answer 1

Answer:

answer is 6 side

Step-by-step explanation:

720÷360=n-2

4=n-2

4+2=n

n=6

Answer 2

Step-by-step explanation:

The formula for the sum of the interior angles in a regular polygon is:

$180°(n - 2)$

Where n = number of sides

since the sum of the interior angles is 720°, then the formula must equal to 720°

hence,

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: 720° = 180° (n-2) \\ \frac{720°}{180°} = n - 2 \\ \: \: \: \: \: \: \: \: 4 = n - 2 \\ \: \: \: \: \: \: \: n = 4 + 2 \\ n = 6$

Since n = 6 , the polygon has 6 sides.

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