Triangle Sum Theorem flashcardziz

Front

What does the Triangle Sum Theorem state?

Back

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

Front

If one angle of a triangle measures 71°, 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° - 71° = 109°.

Front

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

Back

You subtract the sum of the known angles from 180°.

Front

What is the measure of the third angle in a triangle if the other two angles measure 34° and 60°?

Back

The measure of the third angle is 180° - (34° + 60°) = 86°.

Front

If angle A in a triangle is represented as 'A' and the other two angles are 30° and 50°, what is the value of A?

Back

A = 180° - (30° + 50°) = 100°.

Front

What is the relationship between the angles in a triangle?

Back

The angles in a triangle are related such that their sum is always 180°.

Front

If a triangle has angles measuring 45°, 45°, and x°, what is the value of x?

Back

x = 180° - (45° + 45°) = 90°.

Front

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

Back

The formula is: Unknown angle = 180° - (sum of the known angles).

Front

In a triangle, if one angle is 60° and another is 30°, what is the measure of the third angle?

Back

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

Front

What is the significance of the Triangle Sum Theorem in solving triangle problems?

Back

It allows us to find unknown angles when we know the measures of other angles.