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

2 answers:

6 0

<h2><em><u>6</u></em></h2><h2><em>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</em></h2><h2><em>HOPE IT HELPS </em></h2><h2><em>THANK YOU </em></h2><h2><em></em></h2>

yarga [219]2 years ago

3 0

Answer:

3 sides

Step-by-step 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

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