Question

how many sides does a polygon have if the measure of each exterior angle is 18? what is the sum of the measures of the interior angles?​

Answer 1

9514 1404 393

Answer:

• 20 sides
• 3240°

Explanation:

The sum of measures of exterior angles is 360°, so the number of sides (n) can be found from ...

18° × n = 360°

n = 360/18 = 20

The polygon has 20 sides.

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The sum of measures of interior angles will be ...

20(180° -18°) = 3240° . . . . sum of interior angles