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It depends how many sides the polygon with equal angles has.
sum_of_interior_angles = 180° × (number_of_sides - 2)
equiangular_interior_angle = sum_of_interior_angles ÷ number_of_sides
→ equiangular_interior_angle = 180° × (number_of_sides - 2) ÷ number_of_sides
So for:
equilateral triangle: number_of_sides = 3 → equiangular_interior_angle = 180° × (3 - 2) ÷ 3 = 60°
equiangular quadrilateral: number_of_sides = 4 → equiangular_interior_angle = 180° × (4 - 2) ÷ 4 = 90°
equiangular pentagon: number_of_sides = 5 → equiangular_interior_angle = 180° × (5 - 2) ÷ 5 = 108°
equiangular hexagon: number_of_sides = 6 → equiangular_interior_angle = 180° × (6 - 2) ÷ 6 = 120°
etc.
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An equiangular triangle has three congruent angles What is the measure of each angle of an equiangular triangle?
Each angle is 60 degrees
What the measure of interior angle of an equiangular pentagon?
Each interior angle measures 108 degrees
An equilateral hexagon that is not equiangular?
if the measure of each interior angle of a polygon is 150 degrees how amny sides does it have?
What is the equiangular polygon conjecture?
Equiangular Polygon Conjecture - You can find the measure of each interior angle of an equiangular n-gon by using either of these formulas:1.) 180 (n-2) divided by n2.) 180 - (360 / n)
How many sides does a equiangular polygon have if each sum of angle measure is 9540?
If the sum of the interior angles add up to 9540 degrees then it will have 55 sides.
