Triangle Sum Theorem

Front

What does the Triangle Sum Theorem state?

Back

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

Front

If one angle of a triangle measures 62°, what is the sum of the other two angles?

Back

The sum of the other two angles is 118° (180° - 62° = 118°).

Front

What is the measure of the third angle in a triangle if the other two angles measure 33° and 45°?

Back

The measure of the third angle is 102° (180° - 33° - 45° = 102°).

Front

Which of the following sets of angles can form a triangle: 30°, 60°, 90° or 45°, 65°, 70°?

Back

The set 45°, 65°, 70° can form a triangle because their sum is 180°.

Front

What is the measure of an angle if the other two angles in the triangle are 45° and 45°?

Back

The measure of the angle is 90° (180° - 45° - 45° = 90°).

Front

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

Back

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

Front

What is the measure of an angle in a triangle if the other two angles are 70° and 50°?

Back

The measure of the angle is 60° (180° - 70° - 50° = 60°).

Front

If a triangle has angles measuring 80° and 50°, what is the measure of the third angle?

Back

The measure of the third angle is 50° (180° - 80° - 50° = 50°).

Front

What is the maximum possible measure of an angle in a triangle?

Back

The maximum possible measure of an angle in a triangle is less than 180°.

Front

Can a triangle have two obtuse angles? Why or why not?

Back

No, a triangle cannot have two obtuse angles because the sum of the angles would exceed 180°.