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 degrees.

Front

If one angle of a triangle measures 66°, what is the sum of the measures of the other two angles?

Back

The sum of the measures of the other two angles is 180° - 66° = 114°.

Front

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

Back

To find the measure of an unknown angle, subtract the sum of the known angles from 180°.

Front

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

Back

In an equilateral triangle, each angle measures 60°.

Front

If two angles of a triangle are 25° and 30°, what is the measure of the third angle?

Back

The third angle measures 180° - (25° + 30°) = 125°.

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°.

Front

How can you determine if a triangle is valid based on its angles?

Back

A triangle is valid if the sum of its three angles equals 180°.

Front

What is the measure of the angles in a triangle if one angle is 60° and the other is 60°?

Back

The measure of the third angle is 180° - (60° + 60°) = 60°.

Front

If a triangle has angles measuring 36° and 54°, what is the measure of the third angle?

Back

The third angle measures 180° - (36° + 54°) = 90°.

Front

What is the formula to find the measure of an unknown angle in a triangle?

Back

The formula is: Unknown angle = 180° - (Angle 1 + Angle 2).