Quick Answer: How Many Sides Does A Regular Polygon Have With An Interior Angle Of 178 Degrees?

How many sides does a polygon have with an interior angle of 1800?

twelve sidesExplanation: The sum of the interior angles, in degrees, of a regular polygon is given by the formula 180(n – 2), where n is the number of sides.

The problem concerns a polygon with twelve sides, so we will let n = 12.

The sum of the interior angles in this polygon would be 180(12 – 2) = 180(10) = 1800..

How many sides does a polygon have with an interior angle of 135?

eight sidesAnswer. It is a octagon ( eight sides ). so, 1080/ 8 = 135° .

What do you call a 12 sided shape?

dodecagonIn geometry, a dodecagon or 12-gon is any twelve-sided polygon.

How many sides does a polygon have with an interior angle of 160?

18 sidesAnswer and Explanation: Hence, it has 18 sides.

What’s a 20 sided shape called?

icosagonIn geometry, an icosagon or 20-gon is a twenty-sided polygon. The sum of any icosagon’s interior angles is 3240 degrees.

How many sides does a polygon have with an exterior angle of 20?

18 sidesEach exterior angle of a regular polygon = 20 deg. So the polygon has 360/20 = 18 sides.

How many sides does a polygon have with an interior angle of 7380?

43if so, use the formula for sum of interior angles in a polygon to solve. 7380 = (n – 2)(180), where n is the number of sides. The number of sides of the polygon is 43. If you need to know what the measure of each interior angle is divide the sum by the number of sides.

How many sides does a polygon have with an interior angle of 168?

30 sidesMaths keeps one mentally active. If each interior angle of a regular polygon = 168 deg, then each exterior angle = 180–168 = 12 deg. So the regular polygon has 360/12 = 30 sides.

What is the formula for interior angles?

You can use the same formula, S = (n − 2) × 180° S = ( n – 2 ) × 180 ° , to find out how many sides n a polygon has, if you know the value of S , the sum of interior angles.

How many sides does a polygon with an interior angle of 165 have?

24Hence, the regular polygon with interior angle each measuring 165 degrees is a 24-sided polygon.

What is the formula for a regular polygon?

You also learned the formula for finding the area of any regular polygon if you know the length of one side and the apothem: A = (n × s × a)2 A = ( n × s × a ) 2 , where n is the number of sides, s is the length of one side, and a is the apothem.

How many sides does a polygon have with an interior angle?

Subtract the interior angle from 180. For example, if the interior angle was 165, subtracting it from 180 would yield 15. Divide 360 by the difference of the angle and 180 degrees. For the example, 360 divided by 15 equals 24, which is the number of sides of the polygon.