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 90 degrees and another is 45 degrees, what is the measure of the third angle?

Back

The third angle is 45 degrees, since 90 + 45 + x = 180.

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 two angles of a triangle are 70 degrees and 50 degrees, what is the measure of the third angle?

Back

The third angle is 60 degrees, since 70 + 50 + x = 180.

Front

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

Back

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

Front

What is the formula to calculate the sum of angles in a triangle?

Back

The formula is: Angle1 + Angle2 + Angle3 = 180 degrees.

Front

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

Back

The third angle measures 90 degrees.

Front

What is the measure of an angle that is supplementary to a 110-degree angle?

Back

The supplementary angle measures 70 degrees, since 110 + x = 180.

Front

What is the measure of an angle that is complementary to a 30-degree angle?

Back

The complementary angle measures 60 degrees, since 30 + x = 90.