# What is the total measure of the exterior angles of a polygon with 6 sides?

Table of Contents

## What is the total measure of the exterior angles of a polygon with 6 sides?

The General Rule

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

Triangle | 3 | 180° |

Quadrilateral | 4 | 360° |

Pentagon | 5 | 540° |

Hexagon | 6 | 720° |

## How do you find the sum of the measures of the exterior angles?

Polygon Exterior Angle Sum Theorem

- If a polygon is convex, then the sum of the measures of the exterior angles, one at each vertex, is 360° .
- Consider the sum of the measures of the exterior angles for an n -gon.
- N=180n−180(n−2)
- Distribute 180 .
- N=180n−180n+360 =360.

## What is the angle of a six sided shape?

720°

## Does equal sides mean equal angles?

From this we learn that if two angles of a triangle are equal, the sides opposite them are also equal, and the triangle is an isosceles triangle. We also know the converse: if two sides of a triangle are equal, their opposite angles are equal, and the triangle is isosceles.

## What angles are equal in Triangle?

In a Euclidean space, the sum of angles of a triangle equals the straight angle (180 degrees, π radians, two right angles, or a half-turn). A triangle has three angles, one at each vertex, bounded by a pair of adjacent sides.

## What are the equal angles called?

Corresponding angles

## What are opposite equal angles called?

The sides opposite to equal angles of a triangle are equal. Prove that if two angles of a triangle are congruent, then the triangle is isosceles.

## What is an example of same side exterior angles?

When two parallel lines are cut by a third intersecting line, called a transversal line, eight angles are formed. In this figure, angles a and c are on the same side of the transversal line, so they have a same-side exterior relationship. Angles b and d also have a same-side exterior relationship.

## Can interior and exterior angles be congruent?

Since alternate interior and alternate exterior angles are congruent and since linear pairs of angles are supplementary, same side angles are supplementary.