Math 2 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 degrees.

Front

If one angle of a triangle is 90 degrees, what are the measures of the other two angles?

Back

The other two angles must sum to 90 degrees, as the total must equal 180 degrees.

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

How do you find the measure of an unknown angle in a triangle?

Back

To find an unknown angle, subtract the sum of the known angles from 180 degrees.

Front

What is the relationship between parallel lines and angles formed by a transversal?

Back

When a transversal crosses parallel lines, corresponding angles are equal, and alternate interior angles are equal.

Front

If two angles are supplementary, what is their sum?

Back

The sum of two supplementary angles is 180 degrees.

Front

What is the measure of each angle in an equilateral triangle?

Back

Each angle in an equilateral triangle measures 60 degrees.

Front

If one angle of a triangle measures 45 degrees and another measures 75 degrees, what is the measure of the third angle?

Back

The third angle measures 60 degrees (180 - 45 - 75 = 60).

Front

What is the measure of an exterior angle if the two non-adjacent interior angles are 50 degrees and 60 degrees?

Back

The exterior angle measures 110 degrees (50 + 60 = 110).

Front

In a triangle, if one angle measures 82 degrees, what is the maximum possible measure of the other two angles?

Back

The maximum possible measure of the other two angles is 98 degrees (180 - 82 = 98).