Exterior Angles of a Triangle

Front

What is an exterior angle of a triangle?

Back

An exterior angle of a triangle is formed by one side of the triangle and the extension of an adjacent side. It is equal to the sum of the two opposite interior angles.

Tags

CCSS.8.G.A.5

Front

What is the relationship between an exterior angle and the interior angles of a triangle?

Back

The exterior angle is equal to the sum of the two remote interior angles.

Tags

CCSS.8.G.A.5

Front

If one interior angle of a triangle is 45°, what is the measure of the exterior angle adjacent to it?

Back

The exterior angle is 135° because it is equal to 180° - 45°.

Tags

CCSS.8.G.A.5

Front

Calculate the exterior angle if the two remote interior angles are 60° and 75°.

Back

The exterior angle is 135° because 60° + 75° = 135°.

Tags

CCSS.8.G.A.5

Front

What is the sum of the exterior angles of any polygon?

Back

The sum of the exterior angles of any polygon is always 360°.

Front

If angle A is 102° and angle B is 78°, what is the measure of angle C in the triangle?

Back

Angle C is 180° - (102° + 78°) = 0°, which is not possible in a triangle.

Tags

CCSS.8.G.A.5

Front

What is a remote interior angle?

Back

A remote interior angle is an interior angle of a triangle that is not adjacent to a given exterior angle.

Tags

CCSS.8.G.A.5

Front

If angle d is an exterior angle measuring 120°, what are the measures of the two remote interior angles?

Back

The two remote interior angles must sum to 120°.

Tags

CCSS.8.G.A.5

Front

What is the measure of an exterior angle if one of the interior angles is 36°?

Back

The exterior angle is 144° because it is equal to 180° - 36°.

Tags

CCSS.8.G.A.5

Front

Define an interior angle of a triangle.

Back

An interior angle of a triangle is formed by two sides of the triangle and is located inside the triangle.