## How do you find the interior and exterior angles?

The formula for calculating the size of an interior angle is: interior angle of a polygon = sum of interior angles ÷ number of sides. The sum of exterior angles of a polygon is 360°. The formula for calculating the size of an exterior angle is: exterior angle of a polygon = 360 ÷ number of sides.

## Can the interior angles of a polygon have a sum between 4300 o and 4400 o if so how many sides can it have?

nen) 5) Can the interior angles of a polygon have a sum between 4300° and 4400°? If so, how many sides can it have? 18on-360=142n!

**How do you find exterior angles?**

To find the value of a given exterior angle of a regular polygon, simply divide 360 by the number of sides or angles that the polygon has. For example, an eight-sided regular polygon, an octagon, has exterior angles that are 45 degrees each, because 360/8 = 45.

**What is the measure of one exterior angle of a regular polygon whose interior angle sum is 1440?**

All sides are the same length (congruent) and all interior angles are the same size (congruent). To find the measure of the angles, we know that the sum of all the angles is 1440 degrees (from above)… And there are ten angles… So, the measure of the angle of a regular decagon is 144 degrees.

### What is the relationship between interior and exterior angles?

An exterior angle of a triangle is equal to the sum of the two opposite interior angles. The sum of exterior angle and interior angle is equal to 180 degrees.

### What is interior and exterior of an angle?

A shape has one internal angle per vertex. For a triangle, an interior angle is the angle between any two of the triangle’s three sides. An exterior angle of a polygon is any of the angles formed by the intersection of one of the polygon’s sides with a line extended from an adjacent side.

**What is the exterior sum of a 500 gon?**

Critical thinking questions: 31) What is the exterior angle sum of a 500-gon? 360° 32) Is there a regular polygon with an interior angle sum of 9000°? If so, what is it? Yes, regular 52-gon.

**What polygon has a sum of 900 degrees?**

regular heptagon

Answer: The sum of the measures of the interior angles of a regular heptagon is 900 degrees.

## How many sides does a polygon have with an interior angle of 1440?

10 sided polygon

The sum of the measures of the interior angles of a decagon (10 sided polygon) is 1,440.

## What is the measure of each exterior and each interior angle of a regular polygon of 10 sides?

So each of the exterior angles of a regular 10-sided polygon = 360/10 or 36 deg. Also each of the sides will subtend an angle of 36 deg at the center of the figure. Each interior angle will be 180–36 = 144 deg.