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What is 1 interior angle of a 11-gon?
Assuming regular figure: Exterior angle = 360/11 = 32.73 degrees so interior angle = 180 - 32.73 which is 147.27 degrees
What measure of one interior angle inside of 54 gon?
Providing that it's a regular 54-gon then each interior angle measures 173 and a 1/3 degrees
Find the number of sides a regular polygon must have to meet each condition each exterior angle measure is one eigth the measure of each interior angle?
An exterior angle of a regular polygon and its corresponding interior angle = 180° If an exterior angle is 1/8 of the interior angle (A) then A + A/8 = 180 : 9A = 1440 : A = 160 Each exterior angle is thus 180 -160 = 20° The number of sides = 360 ÷ exterior angle = 360 ÷ 20 = 18
What is the corollary to polygon interior angles theorem?
the measure of each interior angle of a regular n-gon is 1/2(n-2)180
What is the measure if each interior angle of a regular polygon with 15 sides?
Two ways to calculate the required angle. 1) Use the formula S = 2n - 4 right angles S is the sum of the interior angles of a polygon, n is the number of sides. Then, S = (2 x 15) - 4 = 26 right angles = 26 x 90 = 2340° So, each interior angle of a regular 15-sided polygon measures 2340/15 = 156° 2) Calculate the exterior angle and subtract from 180° to obtain the interior angle. Sum of exterior angles = 360° Each exterior angle measures, 360/15 = 24° Each interior angle measures, 180 - 24 = 156°
