Question

The sum of Angles and sum of exterior
angles on a polygon are equal find the
number of side and each angle​

Answer 1

Answer:

The sum of the exterior angles of a polygon is always 360 deg. Now you say the sum of the interior angles is twice the sum of the exterior angles, that is, 720 deg, By drawing diagonals to the remaining vertices from any vertex, you form triangles. So 720 deg would mean 4 triangles are formed at each vertex. Add 2 adjacent sides of the particular vertex and you find the polygon has 6 sides, which is the desired polygon you are looking for,

Check: If the figure is a regular hexagon, each exterior angle = 360/6 = 60 deg. So the adjacent interior angle = 180–60 = 120 deg. So the sum of the interior angles = 6x120 = 720 deg. Correct.

Step-by-step explanation:

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