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

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

Triangle
The General Rule

Shape Sides Sum of Interior Angles
Triangle 3 180°
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
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.