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 always 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 34° and 46°, what is the measure of the third angle?

Back

The third angle is 100° (180° - 34° - 46° = 100°).

Front

Solve for x: If x + 50 + 60 = 180, what is x?

Back

x = 70.

Front

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

Back

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

Front

If one angle of a triangle is 50° and the other is 80°, what is the measure of the third angle?

Back

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

Front

What is the measure of the angles in a triangle if one angle is twice the second angle and the third angle is 20°?

Back

Let the second angle be x. Then the first angle is 2x. The equation is 2x + x + 20 = 180. Solving gives x = 40°, so the angles are 80°, 40°, and 20°.

Front

If a triangle has angles measuring 70° and 40°, what is the measure of the third angle?

Back

The third angle is 70° (180° - 70° - 40° = 70°).

Front

What is the sum of the angles in any triangle?

Back

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