Triangle sum theorem

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 67° and another is 60°, what is the measure of the third angle?

Back

The third angle is 53° (180° - 67° - 60° = 53°).

Front

What are complementary angles?

Back

Complementary angles are two angles whose measures add up to 90 degrees.

Front

If ∠A = 40°, what angle is complementary to it?

Back

∠B = 50° (90° - 40° = 50°).

Front

What are supplementary angles?

Back

Supplementary angles are two angles whose measures add up to 180 degrees.

Front

If ∠7 = 130°, what angle is supplementary to it?

Back

∠2 = 50° (180° - 130° = 50°).

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 unknown angle in a triangle?

Back

Subtract the sum of the known angles from 180 degrees.

Front

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

Back

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

Front

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

Back

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