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1440 degrees

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

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,

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

The sum of a regular polygons exterior angles always = 360

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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 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,

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.

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

For regular polygons, all the interior angles are the same measure, while the sum of the exterior angles is always 360 for any regular polygon. Use these facts and the fact that each interior/exterior angle pair has a sum of 180 to answer this question. 360 divided by 8 = 45. So each exterior angle of the figure measures 45. 180 - 45 = 135, so each interior angle measures 135 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.

360

Interior Angles: n-2 (n is number of sides) ____ 180 Exterior angles are always 360 degrees.