Front

What is the sum of the angles in a triangle?

Back

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

Front

What does the equation 3x + 21 = 180 represent?

Back

It represents the relationship between the angles in a triangle where one angle is 21 degrees and the other two angles are represented as 3x.

Front

How do you isolate x in the equation 3x + 21 = 180?

Back

Subtract 21 from both sides to get 3x = 159, then divide by 3 to find x = 53.

Front

What is the definition of complementary angles?

Back

Complementary angles are two angles whose sum is 90 degrees.

Front

What is the definition of supplementary angles?

Back

Supplementary angles are two angles whose sum is 180 degrees.

Front

If two angles are supplementary and one angle measures 70 degrees, what is the measure of the other angle?

Back

The other angle measures 110 degrees (180 - 70 = 110).

Front

What is the relationship between the angles in a linear pair?

Back

Angles in a linear pair are supplementary, meaning they add up to 180 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 measures of the two non-adjacent interior angles.

Front

What is the definition of vertical angles?

Back

Vertical angles are the angles opposite each other when two lines intersect, and they are always equal.

Front

If two angles are vertical and one measures 45 degrees, what is the measure of the other angle?

Back

The other angle also measures 45 degrees.