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

What is the measure of the third angle if two angles of a triangle are 45 degrees and 45 degrees?

Back

The third angle measures 90 degrees.

Front

Can a triangle have angles measuring 30°, 60°, and 90°?

Back

Yes, these angles can form a triangle as they sum to 180 degrees.

Front

If one angle of a triangle is 61 degrees and the other is 34 degrees, what is the measure of the third angle?

Back

The third angle measures 85 degrees.

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

How do you determine if three angles can form a triangle?

Back

Three angles can form a triangle if their sum is exactly 180 degrees.

Front

What is the measure of an angle that is supplementary to a 34-degree angle?

Back

The supplementary angle measures 146 degrees.

Front

If two angles of a triangle are 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 complementary to a 46-degree angle?

Back

The complementary angle measures 44 degrees.