Exterior Angle Theorem/Triangle Sum 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 remote interior angles.

Front

What is the Triangle Sum Theorem?

Back

The Triangle Sum Theorem states that the sum of the interior angles of a triangle is always 180 degrees.

Front

If one angle of a triangle is 60 degrees and another is 70 degrees, what is the measure of the third angle?

Back

The third angle is 50 degrees, calculated as 180 - (60 + 70).

Front

Define remote interior angles in relation to an exterior angle.

Back

Remote interior angles are the two angles inside the triangle that are not adjacent to the exterior angle.

Front

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

Back

The measure of an exterior angle can be found using the formula: Exterior Angle = Remote Interior Angle 1 + Remote Interior Angle 2.

Front

If Angle A = 30 degrees and Angle B = 50 degrees, what is Angle C?

Back

Angle C = 100 degrees, calculated as 180 - (30 + 50).

Front

What are the measures of the angles in a triangle if one angle is 90 degrees and the other two are equal?

Back

The measures are 90 degrees, 45 degrees, and 45 degrees.

Front

How do you set up an equation using the Exterior Angle Theorem?

Back

Set up the equation as: Exterior Angle = Remote Interior Angle 1 + Remote Interior Angle 2.

Front

What is the relationship between the angles in a triangle?

Back

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

Front

If Angle W is an exterior angle, which angles are its remote interior angles?

Back

The remote interior angles are the two angles inside the triangle that are not adjacent to Angle W.