For a convex n-gon, interior and exterior angles form angles, whose measures sum to 180°.

Question

Revolt · Accepted Answer

adjacent; For a convex n-gon, interior and exterior angles form angles, whose measures sum to 180°.: adjacent; Because we have an n-gon, the sum of the measures of these linear pairs, one exterior angle at each vertex, is °.: 180n; The sum of the measures of the interior angles is by the polygon interior angle sum theorem.: 180(n – 2); To find the measure of the exterior angles, we can subtract the sum of the measures of the interior angles from the sum of the measures of the linear pairs. Therefore, we have , which is equal to 360°: 180n – 180(n – 2)

Angle Measures of Polygons

For a convex n-gon, interior and exterior angles form angles, whose measures sum to 180°.

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