Exterior Angle Theorem

Front

What is the Exterior Angle Theorem?

Back

The Exterior Angle Theorem states that the measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles.

Front

If one interior angle of a triangle is 30 degrees and another is 70 degrees, what is the measure of the exterior angle?

Back

The exterior angle is 100 degrees (30 + 70).

Front

What is the relationship between an exterior angle and its adjacent interior angle?

Back

The exterior angle is equal to the sum of the two opposite interior angles, not the adjacent one.

Front

How do you find the measure of an unknown angle using the Exterior Angle Theorem?

Back

Add the measures of the two non-adjacent interior angles to find the measure of the exterior angle.

Front

If an exterior angle measures 124 degrees, what are the possible measures of the two non-adjacent interior angles?

Back

The sum of the two non-adjacent interior angles must equal 124 degrees.

Front

What is the formula for calculating the exterior angle of a triangle?

Back

Exterior Angle = Interior Angle 1 + Interior Angle 2.

Front

If one interior angle is 45 degrees and the other is 60 degrees, what is the exterior angle?

Back

The exterior angle is 105 degrees (45 + 60).

Front

Can the Exterior Angle Theorem be applied to any polygon?

Back

No, it specifically applies to triangles.

Front

What is the sum of the interior angles of a triangle?

Back

The sum of the interior angles of a triangle is always 180 degrees.

Front

If an exterior angle is 70 degrees, what is the sum of the two non-adjacent interior angles?

Back

The sum of the two non-adjacent interior angles is 70 degrees.