Solve for x.A. x = 12B. x = 72C. x=64D. x=18

Hi there! The answer is A. x = 12

The angles (taken together) are complementary angles: the sum of the angles is 90 degrees. When we know this, we can set up and solve an equation.

(3x + 6) + 48 = 90
Work out the parenthesis

3x + 6 + 48 = 90
Collect terms

3x + 54 = 90
Subtract  54

3x = 36
Divide by 3

x = 36 / 3 = 12
Therefore, the solution for x, gives x = 12. A is the correct answer.