Question

The sum of outer angles of a polygon is twice the sum of inner angles. How many sides does it have?

Answer 1

3 sides

Explanation:

sum of exterior angles for all polygons is 360°

sum of interior angles for a polygon can be found by using the formula:

(n - 2) · 180° where 'n' is the number of sides

'sum of outer angles' = 360

'twice the sum of inner angles' = 2n

360 = 2n

n = 180

a three-sided polygon (triangle) has 180 degrees

Answer 2

6

The sum of the interior angles of a polygon is twice the sum of its exterior angles. Therefore, by solving we get n=6 sides

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