Triangle sum and Exterior Angle Theorem

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 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

What does the Exterior Angle Theorem state?

Back

The Exterior Angle Theorem states that 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 is 90 degrees, what can you say about 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 measure of the third angle if two angles of a triangle are 45 degrees and 55 degrees?

Back

The third angle measures 80 degrees (180 - 45 - 55 = 80).

Front

How do you determine if a set of angles can form a triangle?

Back

A set of angles can form a triangle if their sum is exactly 180 degrees.

Front

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

Back

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

Front

If angle A is 30 degrees and angle B is 60 degrees, what is angle C?

Back

Angle C is 90 degrees (180 - 30 - 60 = 90).

Front

What is the sum of the angles in any triangle?

Back

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

Front

If an exterior angle measures 120 degrees, what is the sum of the two non-adjacent interior angles?

Back

The sum of the two non-adjacent interior angles is 120 degrees.