Triangle Sum and Exterior Angle Theorem Review

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°.

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.

Front

How do you calculate the measure of an exterior angle?

Back

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

Front

If one angle of a triangle measures 50° and another measures 60°, what is the measure of the third angle?

Back

The third angle measures 70° (180° - 50° - 60° = 70°).

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 opposite interior angles.

Front

What is the measure of angle b if angle a is 44° and angle c is 100°?

Back

Angle b measures 36° (180° - 44° - 100° = 36°).

Front

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

Back

The sum of the two non-adjacent interior angles must equal 120°.

Front

What is the formula to find the sum of the angles in a triangle?

Back

The sum of the angles in a triangle can be calculated using the formula: A + B + C = 180°, where A, B, and C are the measures of the angles.

Front

If x + 2y = 180° and y = 30°, what is the value of x?

Back

x = 120°.

Front

What is the measure of an angle if it is supplementary to a 75° angle?

Back

The measure of the angle is 105° (180° - 75° = 105°).