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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It will have 14 sides and each interior angle will measure 2160/14 degrees
Each interior angle is 157.5
Each interior angle is 165 degrees
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°.
It is: 180-exterior angle = interior angle
It will have 14 sides and each interior angle will measure 2160/14 degrees
Each interior angle measures: 152o 18' 27.69''
Each interior angle is 157.5
Each interior angle measures 144 degrees
Each interior angle is 165 degrees
120
The measure of the exterior angle.
It is: 180-exterior angle = interior angle
Each interior angle measures 160 degrees
180
60
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