Triangle Sum and Exterior Angle Theorem Practice

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

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 angle of a triangle measures 66 degrees, what is the maximum possible measure of the other two angles?

Back

The maximum possible measure of the other two angles combined is 114 degrees, since the total must equal 180 degrees.

Front

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

Back

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

Front

What is the relationship between the angles in a right triangle?

Back

In a right triangle, one angle measures 90 degrees, and the sum of the other two angles must equal 90 degrees.

Front

How can you determine if three angles can form a triangle?

Back

Three angles can form a triangle if their sum equals 180 degrees.

Front

What is the measure of an exterior angle if the two non-adjacent interior angles measure 40 degrees and 60 degrees?

Back

The measure of the exterior angle is 100 degrees, since 40 + 60 = 100.

Front

What is the definition of an acute angle?

Back

An acute angle is an angle that measures less than 90 degrees.

Front

What is the definition of an obtuse angle?

Back

An obtuse angle is an angle that measures more than 90 degrees but less than 180 degrees.

Front

What is the definition of a straight angle?

Back

A straight angle is an angle that measures exactly 180 degrees.