Geo 2.3 Triangle Sum & Exterior Angle Theorems

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 can you say about the other two angles?

Back

The other two angles must sum to 90 degrees, making the triangle a right triangle.

Front

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

Back

Each angle in an equilateral triangle measures 60 degrees.

Front

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

Back

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

Front

If two angles of a triangle are 50 degrees and 60 degrees, what is the measure of the third angle?

Back

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

Front

What is the relationship between an exterior angle and the two opposite interior angles?

Back

An exterior angle is equal to the sum of the two opposite interior angles.

Front

What is the formula to find the measure of an angle in a triangle if the other two angles are known?

Back

The formula is: Measure of the third angle = 180 - (Measure of angle 1 + Measure of angle 2).

Front

If the angles of a triangle are represented as x, y, and z, what equation represents the Triangle Sum Theorem?

Back

The equation is: x + y + z = 180.

Front

What is the measure of an angle if it is supplementary to a 102-degree angle?

Back

The measure of the angle is 78 degrees, calculated as 180 - 102.

Front

What is the measure of an angle if it is complementary to a 25-degree angle?

Back

The measure of the angle is 65 degrees, calculated as 90 - 25.