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

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1260 degrees

Exterior angle measures 18 degrees Interior angle measures 162 degrees

If exterior angles are 120 then interior angles must be 60 so you have an equilateral triangle

An equilateral triangle is the only polygon in which the exterior angle is larger than the interior angle. They are equal in a square and smaller in all regular polygons with more sides,

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

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1260 degrees

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

Exterior angle measures 18 degrees Interior angle measures 162 degrees

If exterior angles are 120 then interior angles must be 60 so you have an equilateral triangle

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.

An equilateral triangle is the only polygon in which the exterior angle is larger than the interior angle. They are equal in a square and smaller in all regular polygons with more sides,

360

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

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.

The sum of a regular polygons exterior angles always = 360

The exterior angle of an octagon measures 45 degrees. In geometry, this belongs to the group of polygons which are composed of many sides and angles.

180

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