angle sum property of a triangle

Front

What is the Angle Sum Property of a triangle?

Back

The Angle Sum Property states that the sum of the interior angles of a triangle is always 180 degrees.

Front

If one angle of a triangle measures 50 degrees and another measures 60 degrees, what is the measure of the third angle?

Back

The third angle measures 70 degrees (180 - 50 - 60 = 70).

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

To find an unknown angle, subtract the sum of the known angles from 180 degrees.

Front

What is the Triangle Sum Theorem?

Back

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

Front

If two angles of a triangle are 45 degrees and 55 degrees, what is the measure of the third angle?

Back

The third angle measures 80 degrees (180 - 45 - 55 = 80).

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 measure of the angles in a triangle if one angle is twice the measure of another and the third angle is 30 degrees?

Back

Let the angles be x, 2x, and 30. Then, x + 2x + 30 = 180. Solving gives x = 50, so the angles are 50, 100, and 30 degrees.

Front

What is the exterior angle theorem?

Back

The exterior angle theorem states that the measure of an exterior angle of a triangle is equal to the sum of the measures of the two opposite interior angles.

Front

If a triangle has angles measuring 30 degrees and 70 degrees, what is the measure of the third angle?

Back

The third angle measures 80 degrees (180 - 30 - 70 = 80).