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Number of sides = 360/ exterior angle = 360/36 = 10

decagon interior angles total (20 - 4) x 90 ie 1440o

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Q: What is the sum of a polygon's interior angle measure if one exterior angle of a regular polygon measures thirty-six degrees?
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Related questions

One exterior angle of a regular polygon measures 40 What is the sum of the polygons interior angle measures?

1260 degrees


What is the sum of the polygons interior angle measures if the exterior angle measures 40 degrees?

It is a 9 sided nonagon and its 9 interior angles add up to 1260 degrees


What is the measure of a polygons interior angle?

It is: 180-exterior angle = interior angle


One exterior angle of a regular polygon measures 30 what is the sum of the polygons exterior angle measures?

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.


What does a polygons interior and exterior angles add up to?

180 degrees


What is the relationship between the interior and exterior angles in polygons?

An interior angle and the corresponding exterior angle add up to a straight angle. that is, they are supplementary.


What is the sum of the polygons interior angle if the exterior angle measures 40 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.


What polygons sun of its interior angles is exactly the same as the sum of its exterior angles?

no ,is different .


How do you find the exterior angle from a interior angle?

The interior angle and the exterior angle are supplementary. That's why you learned about supplementary angles ... or at least they were presented in class ... before polygons.


What is the measures of an exterior angle of a regular octagon?

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.


What is the formulas to finding interior and exterior angles of regular polygons?

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


How many ways can you find the sum of measures of the exterior angles of a polygon?

The sum of a regular polygons exterior angles always = 360