Triangle Angle Sum Theorem

Front

What does the Triangle Angle Sum Theorem state?

Back

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

Front

If one angle of a triangle is 60° and another is 90°, what is the measure of the third angle?

Back

The third angle is 30° (180° - 60° - 90° = 30°).

Front

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

Back

Each angle in an equilateral triangle measures 60°.

Front

If two angles of a triangle are 45° and 55°, what is the measure of the third angle?

Back

The third angle is 80° (180° - 45° - 55° = 80°).

Front

What is the sum of the interior angles of a triangle?

Back

The sum of the interior angles of a triangle is 180°.

Front

In a triangle, if one angle measures 70°, what is the maximum possible measure of the other two angles?

Back

The maximum possible measure of the other two angles is 110° (70° + x + y = 180°, where x and y are the other angles).

Front

If a triangle has angles measuring 30° and 60°, what is the measure of the third angle?

Back

The third angle measures 90° (180° - 30° - 60° = 90°).

Front

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

Back

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

Front

If a triangle has angles measuring 40° and 100°, what is the measure of the third angle?

Back

The third angle measures 40° (180° - 40° - 100° = 40°).

Front

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

Back

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