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MarkV
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.
Importance
Hello there, and thank you for posting your question here on brainly.

Short answer: A. x = 12

Why?

This type of angle is called a complementary angle, where two acute angles add up to a 90° angle, (a right angle). Substitute x for 12 in the equation shown. (3 * 12 + 6) Now, do the appropriate math to solve. (3 * 12 = 36) Add. (36 + 6 = 42) To check if this is right, we have to add by the known angle, (48), and make sure it adds up to 90. (42 + 48 = 90) x = 12

Hope this helped you! ♥

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