# What Is The Relationship Between Interior And Exterior Angles In Triangles?

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.

An interior angle of a triangle is formed by two sides of the triangle. An exterior angle is formed by one side of the triangle and the extension of an adjacent side. Each exterior angle has two remote interior angles. A remote interior angle is an interior angle that is not adjacent to the exterior angle.

## Introduction to the Interior and Exterior Angles of a Triangle.

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

Relationship. An interior angle of a polygon is always supplementary to an exterior angle at its vertex, therefore they would add up to 180 degrees.

### What is the relation of interior angle of triangle?

Interior Angles of a Triangle Rule No matter how you position the three sides of the triangle, the total degrees of all interior angles (the three angles inside the triangle) is always 180°.

### What is the relationship between the two exterior angles on the same side?

Two angles that are exterior to the parallel lines and on the same side of the transversal line are called same-side exterior angles. The theorem states that same-side exterior angles are supplementary, meaning that they have a sum of 180 degrees.

### What is the relationship of adjacent interior and exterior angles of any convex?

The nonstraight angle adjacent to an interior angle is the exterior angle. Figure might suggest the following theorem: Figure 2 The (nonstraight) exterior angles of a polygon. Theorem 40: If a polygon is convex, then the sum of the degree measures of the exterior angles, one at each vertex, is 360°.

### How is the exterior angle of a triangle related?

The relationship between the exterior angle and the interior angles of a triangle The measure of the exterior angle of a triangle equals the sum of two remote interior angles. The relationship between the exterior angle and the interior angles of a triangle The proof of the property of the exterior angle of a triangle

### What is the sum of interior angle and exterior angle?

Sum of an interior angle of a triangle and its exterior angle is 180o, so these two angles are supplementary. Interior angle is formed by two sides of a polygon.

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

An exterior angle of a triangle is formed by extending any one side. Name the exterior angle. Name the remote interior angles X Y Z W Exploration: What is the relationship between an exterior angle the interior angles? Use a compass to help you fill out the chart below. Pencil in the measure of each angle in the chart below #1 m