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, what can you say about the other two angles?

Back

The other two angles must sum to 90 degrees, making the triangle a right triangle.

Front

Calculate the third angle if the first two angles are 30 degrees and 60 degrees.

Back

The third angle is 90 degrees, since 30 + 60 + 90 = 180.

Front

What is the measure of the third angle if the first angle is 45 degrees and the second angle is 45 degrees?

Back

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

Front

If two angles in 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 + 60 = 180.

Front

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

Back

The formula is: Third Angle = 180 - (First Angle + Second Angle).

Front

If a triangle has angles measuring 80 degrees and 30 degrees, what is the measure of the third angle?

Back

The third angle is 70 degrees, since 80 + 30 + 70 = 180.

Front

What is the relationship between the angles in an equilateral triangle?

Back

In an equilateral triangle, all three angles are equal and each measures 60 degrees.

Front

If one angle of a triangle is 120 degrees, what can you say about the other two angles?

Back

The other two angles must sum to 60 degrees, since 120 + 60 = 180.

Front

What is the measure of the third angle if the first angle is 100 degrees and the second angle is 30 degrees?

Back

The third angle is 50 degrees, since 100 + 30 + 50 = 180.