Interior and Exterior Triangle Angles

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

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

Back

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

Front

What is 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 non-adjacent interior angles.

Front

If one angle of a triangle measures 40 degrees and another measures 60 degrees, what is the measure of the third angle?

Back

The third angle measures 80 degrees (180 - 40 - 60 = 80).

Front

What is the relationship between the angles in a right triangle?

Back

In a right triangle, one angle measures 90 degrees, and the sum of the other two angles is 90 degrees.

Front

How can you determine if a triangle is acute, right, or obtuse based on its angles?

Back

A triangle is acute if all angles are less than 90 degrees, right if one angle is exactly 90 degrees, and obtuse if one angle is greater than 90 degrees.

Front

What is the formula for finding the measure of an exterior angle of a triangle?

Back

The measure of an exterior angle is equal to the sum of the two opposite interior angles.

Front

How do you solve for x in angle equations?

Back

To solve for x in angle equations, isolate x on one side of the equation using algebraic methods.

Front

What is the definition of complementary angles?

Back

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

Front

What is the definition of supplementary angles?

Back

Supplementary angles are two angles whose measures add up to 180 degrees.