INTERNAL AND EXTERNAL ANGLES OF A TRIANGLE

Front

What is the sum of the interior angles of a triangle?

Back

The sum of the interior angles of a triangle is always 180 degrees.

Front

What is an interior angle of a triangle?

Back

An interior angle of a triangle is an angle formed by two sides of the triangle that is located inside the triangle.

Front

What is an exterior angle of a triangle?

Back

An exterior angle of a triangle is formed by one side of the triangle and the extension of an adjacent side.

Front

State the Exterior Angle Theorem.

Back

The Exterior Angle Theorem states that the measure of an exterior angle is equal to the sum of the measures of the two opposite interior angles.

Front

If one angle of a triangle is 50 degrees and the other two angles are equal, what are the measures of the other two angles?

Back

The other two angles are each 65 degrees.

Front

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

Back

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

Front

What is the relationship between the interior angles and the exterior angles of a triangle?

Back

The sum of the measures of the interior angles of a triangle is equal to the sum of the measures of the exterior angles, which is 360 degrees.

Front

If one angle of a triangle is 36 degrees, what is the maximum possible measure of the other two angles?

Back

The maximum possible measure of the other two angles is 144 degrees, as they must sum to 144 degrees (180 - 36).

Front

What is the formula to calculate the measure of an exterior angle?

Back

The measure of an exterior angle can be calculated using the formula: Exterior Angle = Interior Angle 1 + Interior Angle 2.

Front

If the exterior angle of a triangle is 120 degrees, what are the possible measures of the two opposite interior angles?

Back

The two opposite interior angles must sum to 120 degrees.