Question

How many sides the polygon have if the sum of angles if 720

Answer 1

ANSWER:-

All sides are the same length (congruent) and all interior angles are the same size (congruent). To find the measure of the interior angles, we know that the sum of all the angles is 720 degrees (from above) And there are six angles,So, the measure of the interior angle of a regular hexagon is 120 degrees.

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Answer 2

There is a formula to find the angle sum property of all polygons which is, $(n-2)180$° where, $n$ is the number of sides in that polygon.

Here, $(n-2)180$ = $720$°

$(n-2)$ = $\frac{720}{180}$

$(n-2)$ = $4$

$n$ = 4+2

$n$ = 6

Therefore, the number of sides is 6.