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## What is the exterior angles of a quadrilateral?

When the sides of a quadrilaterals are extended and the exterior angles are produced. The sum of four exterior angle is always 360 degrees.

What are the exterior angles of a polygon?

Exterior angles of polygons The sum of the exterior angles of a polygon is 360°.

### What is the formula for exterior angles of a polygon?

Exterior Angles of a Regular Polygon with n sides: Exterior angle = 360°/n.

Are exterior angles equal?

The measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles of the triangle.

#### What is the sum of one exterior angle of a quadrilateral?

Measures of Exterior Angles The corresponding sum of the exterior and interior angle formed on the same side = 180°.

What is the exterior angle of a 12 sided polygon?

30˚
Since a dodecagon has 12 sides, an exterior angles is 360˚12=30˚ .

## Why are the exterior angles of a polygon 360?

The sum of the exterior angles of any polygon (remember only convex polygons are being discussed here) is 360 degrees. Because the exterior angles are supplementary to the interior angles, they measure, 130, 110, and 120 degrees, respectively. Summed, the exterior angles equal 360 degreEs.

Which angles are alternate exterior angles?

Two angles that lie on opposite sides of the transversal and are placed on two different lines, both either inside the two lines or outside, are called alternate angles. In the given figure below, the alternate exterior angle pairs are 1 and 7; 2 and 8.

### How do you prove exterior angles of property?

The properties of the exterior angle is given as follows:

1. The exterior angle of a given triangle equals the sum of the opposite interior angles of that triangle.
2. If an equivalent angle is taken at each vertex of the triangle, the exterior angles add to 360° in all the cases.

Why do all exterior angles equal 360?

#### What is the sum of angle of quadrilateral?

360°
Quadrilaterals are composed of two triangles. Seeing as we know the sum of the interior angles of a triangle is 180°, it follows that the sum of the interior angles of a quadrilateral is 360°.