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Q: One exterior angle of a regular polygon measures 36. What is the sum of the polygon's interior angle measures?

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1260 degrees

Hint: in a regular polygon interior plus exterior = 180o, always.

The sum of the exterior angles in any polygon is 360 degrees.Therefore that polygon is a decagon.

1260

1440 degrees

Each interior angle of the regular 5 sided polygon measures 108 degrees

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1800 degrees

The sum of a regular polygons exterior angles always = 360

If the exterior angle is 30o then the shape has 360/30 = 12 sides. An interior angle = 180 - exterior angle = 180 - 30 = 150. Since the shape has 12 sides the interior angles sum to 150 x 12 = 1800o.

360

Providing that it's a regular polygon then its interior angles will add up to 1260 degrees with each of its 9 interior angles measuring 140 degrees.

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