Triangle Sum Theorem

Front

What does the Triangle Sum Theorem state?

Back

The Triangle Sum Theorem states that the sum of all angles in a triangle is 180°.

Front

If one angle of a triangle is 45° and another is 65°, what is the measure of the third angle?

Back

The third angle is 70°.

Front

Can a triangle be formed with angles measuring 45°, 65°, and 70°?

Back

Yes, these angles can form a triangle because their sum is 180°.

Front

What is the measure of an angle if the other two angles in a triangle are 90° and 30°?

Back

The measure of the third angle is 60°.

Front

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

Back

x + y + z = 180°.

Front

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

Back

Each angle in an equilateral triangle measures 60°.

Front

If one angle of a triangle is 90°, what type of triangle is it?

Back

It is a right triangle.

Front

What is the relationship between the angles in a triangle and the concept of supplementary angles?

Back

Two angles are supplementary if their sum is 180°, which is relevant when considering the angles in a triangle.

Front

How do you find the measure of an unknown angle in a triangle if the other two angles are known?

Back

Subtract the sum of the known angles from 180°.

Front

What is the measure of the third angle if two angles of a triangle measure 50° and 60°?

Back

The third angle measures 70°.