Solving Equations with Angle Relationships

Front

What are supplementary angles?

Back

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

Front

If angle A measures 6x - 9 and angle B measures 3x + 18, what is the equation to find x?

Back

6x - 9 + 3x + 18 = 180

Front

What is the measure of angle A if x = 30 in the equation 6x - 9?

Back

The measure of angle A is 171 degrees.

Front

What is the measure of angle B if x = 30 in the equation 3x + 18?

Back

The measure of angle B is 108 degrees.

Front

What is the relationship between complementary angles?

Back

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

Front

If angle C measures 45 degrees, what is the measure of its complementary angle?

Back

The measure of the complementary angle is 45 degrees.

Front

What is the formula to find the measure of an angle when given its supplement?

Back

If the supplement of angle A is S, then S = 180 - A.

Front

If angle D measures 122 degrees, what is the measure of its supplement?

Back

The measure of the supplement of angle D is 58 degrees.

Front

What is the measure of angle GFO if it is given as 56 degrees?

Back

Angle GFO measures 56 degrees.

Front

How do you solve for x in the equation 6x - 9 + 3x + 18 = 180?

Back

Combine like terms: 9x + 9 = 180, then solve for x.