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One exterior angle of a regular polygon measures 40 degrees what is the sum of the polygons interior angle measure?
Wiki User
∙ 13y ago
Sum of exterior angles = 360 degrees
So there are 360/40 = 9 angles.
Exterior angle = 40 deg so interior angle = 180 - 40 = 140 deg
Nine angles, 140 deg each = 140*9 = 1260 degrees.
Alternatively, once you know it is a nonagon (9-gon), sum of interior angles
= (9-2)*180 = 7*180 = 1260 degrees.
Wiki User
∙ 13y ago
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What is the measure of each exterior angle and each interior angle of nonagon?
Providing that it is a regular nonagon then each exterior angle measures 40 degrees and each interior angle measures 140 degrees
Find the sum of the interior measures of a regular hexagon?
Each interior angle of a regular hexagon measures 120 degrees. It has a total of 720 degrees of interior angles and a total of 360 degrees of exterior angles.
About Approximately how many degrees are in the measure of an interior angle of a regular eight sided polygon?
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.
What is the measures of the interior angles of a regular polygon if each exterior angle measures 72 degrees?
It is: 180-72 = 108 degrees and it is a regular 5 sided pentagon
Interior and exterior angles of triangles?
Interior angles are 180 degrees Exterior angles are 360 degrees
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 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 is the exterior and interior angles of a regular 20-gon?
Exterior angle measures 18 degrees Interior angle measures 162 degrees
What does a polygons interior and exterior angles add up to?
180 degrees
What is the measure of the interior angle and the exterior angle of a regular polygon with 20 sides?
Each exterior angle measures 20 degrees Each interior angle measures 160 degrees
What is the difference between the interior and exterior angles of a hexagon?
Providing that it is a regular hexagon then the each interior angle measures 120 degrees and each exterior angle measures 60 degrees
What is the measures of an interior angle and an exterior angle of a regular polygon with 6 sides?
Interior angle = 120 degrees Exterior angle = 60 degrees
Which polygons have interior angles in which the sum of the measures of the angles is 720 degrees?
octagon
What is the measure of an interior angle of a regular dodecagon?
Each interior angle measures 150 degrees Each exterior angle measures 30 degrees
What are measures of the exterior angles?
Subtract the interior angle by 360 degrees
What is the measure of each exterior angle and each interior angle of nonagon?
Providing that it is a regular nonagon then each exterior angle measures 40 degrees and each interior angle measures 140 degrees
