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How many sides does an equiangular polygon have if each interior angle measures 156 degrees?
It will have 15 sides
How many sides a polygon have with an angle 156?
If it's a regular polygon with each interior angle being 156 degrees then it will have 15 sides
How many sides does an equiangular polygon have if each interior angles measure 156?
15 sides
What is the Interior angle of a polygon with 15 sides?
The interior angles of a 15 sided polygon add up to 2340 degrees and if it is a regular polygon then each interior angle is 156 degrees.
What is the measure of an interior angle of a regular polygon with 15 sides?
The sum of the interior angles of any regular polygon of n sides is equal to 180(n - 2) degrees. (180 x 13)/15 = 156 degrees
Each interior angle of a regular polygon measures 156°. How many sides does this polygon have?
15
How many sides does a regular polygon have if the measure of the angle is 156?
If its interior angle measures 156 degrees then it will have 15 sides
If each side of a regular polygon has a measure of 156 then the polygon must have how many sides?
If each interior angle measures 156 degrees then it must have 15 sides
How many sides does a regular polygon have if each interior angle measures 156 degrees?
15 sides
How many sides does an equiangular polygon have if each interior angle measures 156 degrees?
It will have 15 sides
Interior angle of a regular polygon measures 156 How many sides does the polygon have?
156 = [180(n - 2)]/n = 156n = 180n - 360 ie 24n = 360 so n = 15
How many sides a polygon have with an angle 156?
If it's a regular polygon with each interior angle being 156 degrees then it will have 15 sides
How many sides does a regular polygon have if the measure of an interior angle is 156?
If the interior angle measures 156 degrees, this means that the exterior angle is equal to 180 - 156 = 24 degrees. Dividing this by the full 360 degrees of a circle, gives 360/24 = 15. The polygon therefore has fifteen sides. A fifteen-sided polygon is called a pentadecagon or pentakaidecagon.
How many sides does a regular polygon have if the measure of an angle is 156?
15 sides.
What is the number of sides of a regular polygon if one angle measures 156?
Interior angle = 156 degrees so exterior angle = 180 - 156 = 24 degrees. Then number of sides = 360 / 24 = 15.
How many sides does an equiangular polygon have if each interior angles measure 156?
15 sides
If the interior angle of a regular polygon is 156 degrees how many sides does it have?
The interior angle is the angle formed from two sides of a nth-sided polygon. Because the polygon is regular, all angles formed from any two sides of the polygon are equal. It can be proven, but I won't attempt to, that to find the amount of sides, you use 180-[interior angle], and divide the answer by 360. In this case, 180-156=24, 360/24= 15, thus the polygon has 15 sides. One way to prove it is to imagine the polygon and divide it into isosceles triangles. But I won't go there.
