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sum of external angles of a polygon is always 360°
sum of 10 external angles = 360°
each exterior angle = 360/10 = 36°
exterior angle and interior angle forms a linear pair i.e. = 180°
interior angle = 180 - 36 = 144°
sum of exterior angles of polygon is
= (n - 2) × 180°
= (10 - 2) × 180
= 1440°
so each interior angle = 1440/10 = 144°
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What else can I help you with?
What is the measure of one interior angle on a regular polygon with an interior angle sum of 2160 degrees?
It will have 14 sides and each interior angle will measure 2160/14 degrees
What is the measure of one angle in a 16agon?
Each interior angle is 157.5
What is the measure of one interior angle of a regular 24-gon?
Each interior angle is 165 degrees
Which regular polygon the measure of the exterior angle is twice the measure of the interior angle?
In a regular polygon, the measure of the exterior angle is related to the interior angle by the equation: exterior angle = 180° - interior angle. If the exterior angle is twice the measure of the interior angle, we can set up the equation: exterior angle = 2 × interior angle. Solving this gives us the equation: 180° - interior angle = 2 × interior angle, leading to 180° = 3 × interior angle, or interior angle = 60°. This corresponds to a regular hexagon, as it has interior angles of 120° and exterior angles of 60°.
What is the measure of a polygons interior angle?
It is: 180-exterior angle = interior angle
What is the measure of one interior angle on a regular polygon with an interior angle sum of 2160 degrees?
It will have 14 sides and each interior angle will measure 2160/14 degrees
What is the measure of one interior angle of a regular 13 gon?
Each interior angle measures: 152o 18' 27.69''
What is the measure of one angle in a 16agon?
Each interior angle is 157.5
What is the measure of one interior angle of a regular decagon?
Each interior angle measures 144 degrees
What is the measure of one interior angle of a regular 24-gon?
Each interior angle is 165 degrees
What is the degree measure of one interior angle?
120
Which regular polygon the measure of the exterior angle is twice the measure of the interior angle?
In a regular polygon, the measure of the exterior angle is related to the interior angle by the equation: exterior angle = 180° - interior angle. If the exterior angle is twice the measure of the interior angle, we can set up the equation: exterior angle = 2 × interior angle. Solving this gives us the equation: 180° - interior angle = 2 × interior angle, leading to 180° = 3 × interior angle, or interior angle = 60°. This corresponds to a regular hexagon, as it has interior angles of 120° and exterior angles of 60°.
What is the measure of the supplementary angle of an interior angle?
The measure of the exterior angle.
What is the measure of a polygons interior angle?
It is: 180-exterior angle = interior angle
What is the measure of one interior angle of a regular 18-sided polygon?
Each interior angle measures 160 degrees
Which is the measure of one interior angle of a regular pentagon?
180
What is the measure of one interior angle of a regular undecagon?
10000000000000
