## How many sides does a polygon have if the sum of the interior angles is 1260

Therefore, a polygon has nine sides. Was this response helpful?

## How do you find a side of a polygon

Divide 360 by the exterior angles measure to determine the polygons number of sides. For instance, if the exterior angle is 60 degrees, then dividing 360 by 60 equals 6 to determine the polygons number of sides.

## How many sides does a polygon have if the sum of its interior angles is 360

**The General Rule**

Shape | Sides | Sum of Interior Angles |
---|---|---|

Quadrilateral |
4 |
360° |

Pentagon | 5 | 540° |

Hexagon | 6 | 720° |

Heptagon (or Septagon) | 7 | 900° |

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

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. The sum of the measures of the interior angles of a polygon is 2340°.

## How many sides does a polygon have if the sum of the interior angles is 900

Seven sides are present.

## How many sides does a polygon have if the sum of its interior angles is 180

An octagon has eight sides, so the sum of its interior angles is 180(8 – 2) = 180(6) = 1080 degrees. The sum of the interior angles in a regular polygon is given by the formula 180(n – 2), where n is the number of sides in the polygon.

## How many sides does a polygon have if the sum of its interior angles is 4 140

What is the name of the polygon whose interior angles are each 140°? 180°n divided by both sides gives us 9; this is a nonagon.

## How many sides does a polygon have if each interior angle is 165

Therefore, a regular polygon has 24 sides if its interior angle is 165 degrees.

## What is the number of sides of a polygon with 720 sum of its interior angles

The given polygon has 6 sides; find the total number of sides.

## What is the number of sides of a polygon with 3240 sum of its interior angles

Answer and explanation: A regular polygon with 20 sides and interior angles that total 3240 degrees is said to have regular polygons.

## What is the number of sides of a polygon with 1980 sum of its interior angles

The polygon thus has 13 sides.

## How many sides does a polygon have if each interior angle measures 20

360 degrees divided by 18 equals 20 degrees; 18 sides equal 16 triangles; 16 x 180 degrees equals 2880 degrees; 2880 degrees divided by 20 equals 160 degrees (for each interior angle); 180 degrees plus exterior and interior angles equal 180 degrees; 180 degrees minus 160 degrees equals 20 degrees.

## What is the number of sides of a regular polygon whose interior angles are 156 ∘ each

Find the required polygons number of sides since it has 15 sides since the interior angle of a regular polygon is 156.

## How many sides has a polygon if the sum of its angles is 26 right angles

Your polygons angles total 26 rt-angles; therefore, 2n – 4 = 26; adding 4 to both sides yields 2n = 30; and subtracting 4 from both sides yields 2n = 30, or n (the number of sides) = 15.

## How do you find the number of sides of a polygon when given the exterior angle

The number of sides of the polygon can be found by dividing 360 by the exterior angle, for instance, if the exterior angle is 60 degrees, then the result of this division is 6, which is the number of sides the polygon has.

## How many sides does a regular polygon have if each of its interior angle is 120 degree

Lets solve it step by step: If the interior angle of a regular polygon is 120°, then the polygon has six sides and is called a hexagon.

## How many sides does a regular polygon have if each of its interior angle is 135 degree

Starting with the assumption that there are n sides, we have an n-sided regular polygon with an interior angle of 135°, giving us the result that there are 8 sides in the polygon, making option C the correct response.

## What is the sum of interior angles of a polygon of 5 sides

**Sum of Interior Angles of a Polygon**

Polygon Name | Number of Interior Angles | Sum of Interior Angles = (n-2) x 180° |
---|---|---|

Triangle | 3 | 180° |

Quadrilateral | 4 | 360° |

Pentagon | 5 | 540° |

Hexagon | 6 | 720° |