4.3 HW 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 50 degrees and another is 60 degrees, what is the measure of the exterior angle adjacent to the 60-degree angle?

Back

The exterior angle is 50 + 60 = 110 degrees.

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 120 degrees, what is the sum of the two opposite interior angles?

Back

The sum of the two opposite interior angles is 120 degrees.

Front

What is the value of the missing angle if one interior angle is 70 degrees and the other is 40 degrees?

Back

The missing exterior angle is 70 + 40 = 110 degrees.

Front

In a triangle, if one exterior angle is 150 degrees, what can you say about the two opposite interior angles?

Back

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

Front

If the measure of one interior angle is 30 degrees and the exterior angle is 130 degrees, what is the measure of the other interior angle?

Back

The other interior angle is 130 - 30 = 100 degrees.

Front

What is the formula to calculate the measure of an exterior angle?

Back

Exterior Angle = Interior Angle 1 + Interior Angle 2.

Front

If a triangle has angles measuring 40 degrees, 60 degrees, and x degrees, what is the value of x?

Back

x = 180 - (40 + 60) = 80 degrees.