Find the measure of each angle in the problem.
-Complementary angles with measures 3x and 6x - 18 degrees
A)66° and 114°
B)12° and 78°
C)36° and 54°
D)38° and 52°

Question

Quizplus · Accepted Answer

Complementary angles add up to 90 degrees. Setting up the equation 3x + (6x - 18) = 90, combining like terms gives 9x - 18 = 90. Adding 18 to both sides gives 9x = 108, and dividing by 9 gives x = 12. Substituting x = 12 into the expressions for the angles gives 3(12) = 36 degrees and 6(12) - 18 = 72 - 18 = 54 degrees.

Find the Measure of Each Angle in the Problem