## How do you find exterior and interior 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.

## How do you find the exterior angle of a quadrilateral?

Finding the exterior angle of a quadrilateral –

## How do you find the missing exterior angles of a triangle?

**Because the interior angles of a triangle add to 180°, and angles c+d also add to 180°:**

- The interior angles of a triangle add to 180°:a + b + c = 180°
- Angles c and d make a straight angle, which is 180°:d + c = 180°
- So d + c equals a + b + c:d + c = a + b + c.
- Subtract c from both sides:d = a + b.

## What is the formula for 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.

## How do you find the measure of the exterior angle?

The measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles. (Non-adjacent interior angles may also be referred to as remote interior angles.) FACTS: An exterior ∠ is equal to the addition of the two Δ angles not right next to it.

## How do you find the exterior angles of a polygon?

Finding an Exterior Angle in a Polygon –

## Why is the exterior angle sum 360?

The sum is always 360 . Geometric proof: When all of the angles of a convex polygon converge, or pushed together, they form one angle called a perigon angle, which measures 360 degrees. If the sides of the convex polygon are increased or decreased, the sum of all of the exterior angle is still 360 degrees.

## What is the exterior angle of a pentagon?

How is the exterior angle of a regular pentagon calculated? The sum of the exterior angle of all polygon is equal to 360deg.