Table of Contents

- 1 Which polygon that has an interior angle of 180 degree?
- 2 How many sides does a polygon have with an interior angle of 180?
- 3 How many interior angles does a polygon have?
- 4 Is it possible for the measure of 1 interior angle of a regular polygon to be 52?
- 5 How do you find the measure of an interior angle of a regular pentagon?
- 6 Can it be an interior angle of a regular polygon?
- 7 How are the interior angles of a polygon equal?
- 8 How to calculate the interior angles of a pentagon?

## Which polygon that has an interior angle of 180 degree?

Triangle

The General Rule

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

Triangle | 3 | 180° |

Quadrilateral | 4 | 360° |

Pentagon | 5 | 540° |

Hexagon | 6 | 720° |

**Can a regular polygon have interior angles of 180?**

In a regular polygon the sides are all the same length and the interior angles are all the same size. The following diagram shows a regular hexagon: Note that, for any point in a polygon, the interior angle and exterior angle are on a straight line and therefore add up to 180°.

### How many sides does a polygon have with an interior angle of 180?

The sum of the interior angles in any polygon is 180(n – 2) degrees. Then, since each angle in a regular polygon is the same, each interior angle has a measure of 180(n – 2)/n degrees. ==> n = 24. Thus, the polygon has 24 sides.

**How do you find the measure of an interior angle?**

To find the measure of one interior angle, we take that formula and divide by the number of sides n: (n – 2) * 180 / n. The exterior angle is supplementary to the interior angle, so to find the exterior angle, we simply subtract the interior angle from 180: 180 – interior angle.

## How many interior angles does a polygon have?

The interior angles of a polygon are equal to a number of sides. Angles are generally measured using degrees or radians. So, if a polygon has 4 sides, then it has four angles as well….Sum of Interior Angles of a Polygon.

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

Decagon | 10 | 1440° |

**How do you find the measure of an interior angle in a regular polygon?**

Let’s recap. A regular polygon is a flat shape whose sides are all equal and whose angles are all equal. The formula for finding the sum of the measure of the interior angles is (n – 2) * 180. To find the measure of one interior angle, we take that formula and divide by the number of sides n: (n – 2) * 180 / n.

### Is it possible for the measure of 1 interior angle of a regular polygon to be 52?

It impossible for a interior angle of a regular polygon to equal degrees. The sum of the exterior angles of any polygon is degrees, so the number of sides would be supposedly equal to or . A polygon cannot have sides, so the angle can’t measure degrees.

**What has all interior angles less than 180?**

A convex polygon has interior angles less than 180 degrees, thus all triangles are convex. If a polygon has at least one internal angle greater than 180 degrees, then it is concave.

## How do you find the measure of an interior angle of a regular pentagon?

To find the measure of each interior angle of any regular polygon, we use the formula {(n – 2) × 180} / n degrees, where n is the number of sides of the polygon. Now, for a pentagon, n = 5. Hence, using the formula above formula, we get {(5 – 2) × 180} / 5 = 108 degrees.

**How do you find the measure of an interior angle of a regular polygon?**

### Can it be an interior angle of a regular polygon?

The sum of the interior angles of a regular polygon is 30600. Find the number of sides in the polygon. The polygon has 19 sides. 2….Sum of Interior Angles of a Polygon with Different Number of Sides:

Irregular Polygons | ||
---|---|---|

Polygon | No. of Sides | Sum of Interior Angles |

Triangle | 3 | 1800 |

Quadrilateral | 4 | 3600 |

Pentagon | 5 | 5400 |

**How do you find the measure of each interior angle of a regular pentagon?**

## How are the interior angles of a polygon equal?

Since it’s a regular polygon, all the interior angles are equal, so they’re all 160 degs. The sum of the interior angles of a polygon is 180*(n-2). Each angle is the total over n, in this case 160 degs. 160 = 180*(n-2)/n.

**Is the sum of all interior angles always equal to 180 degrees?**

But the angle of the sum of all the types of interior angles is always equal to 180 degrees. For a regular triangle, each interior angle will be equal to: 180/3 = 60 degrees 60°+60°+60° = 180°

### How to calculate the interior angles of a pentagon?

For a regular pentagon, each angle will be equal to: 540°/5 = 108° 108°+108°+108°+108°+108° = 540° Sum of Interior angles of a Polygon = (Number of triangles formed in the polygon) x 180°

**What is the sum of the interior angles of an ABCDE?**

In a polygon of ‘n’ sides, the sum of the interior angles is equal to (2n – 4) × 90°. ABCDE is a “n” sided polygon. Take any point O inside the polygon. Join OA, OB, OC. For “n” sided polygon, the polygon forms “n” triangles. Note: In a regular polygon, all the interior angles are of the same measure.