How Many Sides Does A Polygon With An Interior Angle Of 162 Have?

How many sides does a polygon have with an interior angle of 140?

9 sidesMethod 1: Since the interior angle 140 degrees, the supplement of this is the exterior angle and equal to 40 degrees.

Hence the number of sides is 360/40 = 9 sides..

How many sides does a polygon have with an interior angle of 720?

**The students should see the pattern of numbers from the 1st column to the 4th column.Number of SidesName of PolygonSum of interior angles3Triangle180 degrees4Quadrilateral360 degrees5Pentagon540 degrees6Hexagon720 degrees6 more rows

How many sides does a polygon have with an interior angle of 150?

12 sidesIf each angle of a regular polygon measures 150°, then the polygon has 12 sides.

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

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

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

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

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.

How many sides does a polygon have with an interior angle of 175?

72 sidesA regular polygon with each interior angle of 175 deg will have each exterior angle as 180–175 = 5 deg. Hence the number of sides in the regular polygon = 360/5 = 72 sides.

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° .

How many sides does a regular polygon have if the measure of an exterior angle is 45 degree?

8As each exterior angle is 45o , number of angles or sides of the polygon is 360o45o=8 .

How many sides does a polygon have with an interior angle of 144?

Decagon Definitions A decagon is a 10-sided polygon, with 10 interior angles, and 10 vertices which is where the sides meet. A regular decagon has 10 equal-length sides and equal-measure interior angles. Each angle measures 144° and they all add up to 1,440° .

Can you have a regular polygon with interior angles of 25 degrees?

of 180-25 = 155 degrees. But you cannot have 2.32 sides. So you cannot have a regular polygon all of whose interior angle are 25 degrees.

What is the sum of interior angles of a polygon with 12 sides?

The total interior angle of a 12 sided polygon is = (12 – 2) 180 degrees = 1800 degrees.

How do you find the number of sides in a polygon 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.

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.

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.

What is the formula for one interior angle in a regular polygon?

An interior angle is located within the boundary of a polygon. The sum of all of the interior angles can be found using the formula S = (n – 2)*180. It is also possible to calculate the measure of each angle if the polygon is regular by dividing the sum by the number of sides.

How many sides does a polygon have with an interior angle of 108?

Answer. Each interior angle of the polygon is 108 degrees, so each exterior angle of the polygon is 180-108 = 72 degrees. So the number of sides is 360/72 = 5.

How many sides does a polygon have if the sum of the interior angles is 2340?

15 sidesIf the sum of the measures of the interior angles of a polygon is 2340°, how many sides does the polygon have? Use the equation “sum of interior angles = (n – 2)180º ” to write an equation and solve for n. The solution is shown at right. Since n = 15, the polygon has 15 sides.

What is the sum of the interior angles of a polygon with 7 sides?

The General RuleShapeSidesSum of Interior AnglesQuadrilateral4360°Pentagon5540°Hexagon6720°Heptagon (or Septagon)7900°6 more rows

How many sides does a regular polygon have with an interior angle of 170 degrees?

36 sidesAnswer and Explanation: The polygon that has an interior angle that is 170∘ has 36 sides.

What is the interior angle of a pentagon?

108°Pentagon/Internal angle