# What is an interior angle of a polygon?

Table of Contents

## What is an interior angle of a polygon?

An interior angle of a polygon is an angle inside a polygon at a vertex of the polygon. Interior Angles of a Regular Polygon. Interior angles of a regular polygon are equal in measure. The magnitude of an angle can be determined by the number of sides of the polygon.

## How do you find the interior angle of a polygon?

To find the sum of interior angles of a polygon, multiply the number of triangles in the polygon by 180°. The formula for calculating the sum of interior angles is ( n − 2 ) × 180 ∘ where is the number of sides. All the interior angles in a regular polygon are equal.

## What is the inside of an angle called?

In Euclidean geometry, an angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.

## What is alternate angle?

Alternate angles are angles that are in opposite positions relative to a transversal intersecting two lines. Examples. If the alternate angles are between the two lines intersected by the transversal, they are called alternate interior angles.

## What is lines and angle?

Considered as a breadth less length by Euclid, lines form the basis of Euclidean geometry. When two rays (part of a straight line) intersect each other in the same plane, they form an angle. The point of intersection is called a vertex.

## What is properties of angle?

The angle properties of lines are: Vertically opposite angles are equal, for example a = d, b = c. Adjacent angles add to 180o, for example a + b = 180o, a + c = 180. o. Corresponding angles are equal, for example a = e, b = f, c = g, d= h.

## What are the four properties of angles?

When to lines intersect they create four angles. Each angle is opposite to another and form a pair of what are called opposite angles. Angles a and c are opposite angles. Opposite angles are equal.

## What is the angle sum property?

A triangle has three sides and three angles, one at each vertex, bounded by a pair of adjacent sides. In a Euclidean space, the sum of angles of a triangle equals 180 degrees. Whether a triangle is an acute, obtuse, or a right triangle, the sum of the angles will always be 180º.

## Are interior angles congruent?

All angles that are either exterior angles, interior angles, alternate angles or corresponding angles are all congruent.

## Is an undefined slope?

Note that when a line has a positive slope it goes up left to right. Note that when a line has a negative slope it goes down left to right. Note that when a line is horizontal the slope is 0. Note that when the line is vertical the slope is undefined.