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 angle a + angle b = 94 degrees, what is the measure of angle d?

Back

Angle d = 94 degrees.

Front

What is the measure of angle 4y + 8 if it equals 68 degrees?

Back

4y + 8 = 68 degrees; therefore, y = 15.

Front

What is the measure of angle 5y + 3 if it equals 78 degrees?

Back

5y + 3 = 78 degrees; therefore, y = 15.

Front

What is the measure of angle 3x + 2 if it equals 122 degrees?

Back

3x + 2 = 122 degrees; therefore, x = 40.

Front

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

Back

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

Front

How do you find the measure of an exterior angle?

Back

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

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 angle a = 40 degrees and angle b = 60 degrees, what is angle d?

Back

Angle d = angle a + angle b = 40 + 60 = 100 degrees.

Front

What is the formula for calculating the measure of an exterior angle?

Back

Exterior angle = interior angle 1 + interior angle 2.