Exterior Angles of Triangles HW

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.

Front

How do you calculate the measure of an exterior angle?

Back

To calculate the measure of an exterior angle, add the measures of the two non-adjacent interior angles of the triangle.

Front

If one interior angle of a triangle is 50° and another is 60°, what is the measure of the exterior angle adjacent to the 60° angle?

Back

The exterior angle is 50° + 60° = 110°.

Front

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

Back

The exterior angle is equal to the sum of the two non-adjacent interior angles.

Front

If a triangle has interior angles of 30°, 70°, and 80°, what is the measure of the exterior angle adjacent to the 70° angle?

Back

The exterior angle is 30° + 80° = 110°.

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

Can a triangle have an exterior angle greater than 180°?

Back

No, an exterior angle of a triangle cannot be greater than 180°.

Front

If a triangle has one exterior angle measuring 120°, what are the measures of the two non-adjacent interior angles?

Back

The two non-adjacent interior angles must sum to 120°, so they could be 60° and 60° or any other combination that adds up to 120°.

Front

What is the formula for finding the measure of an exterior angle in terms of the interior angles?

Back

Exterior Angle = Interior Angle 1 + Interior Angle 2.

Front

If the exterior angle of a triangle is 150°, what is the sum of the two opposite interior angles?

Back

The sum of the two opposite interior angles is 150°.