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 measures 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

How do you find the measure of a missing angle in a triangle?

Back

To find a missing angle, subtract the sum of the known angles from 180 degrees.

Front

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

Back

Each angle in an equilateral triangle measures 60 degrees.

Front

If two angles of a triangle are 55 degrees and 47 degrees, what is the measure of the third angle?

Back

The third angle measures 78 degrees (180 - 55 - 47 = 78).

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

How can you determine if a triangle is obtuse?

Back

A triangle is obtuse if one of its angles measures more than 90 degrees.

Front

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

Back

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

Front

If a triangle has angles measuring 25 degrees and 47 degrees, what is the measure of the third angle?

Back

The third angle measures 108 degrees (180 - 25 - 47 = 108).

Front

What is the definition of complementary angles?

Back

Complementary angles are two angles whose measures add up to 90 degrees.