Question

The supplement of an angle is 12 more than twice the complement. Find the measure of the angle.

A) 144 degrees
B) 30 degrees
C) 48 degrees
D) 36 degrees

Answer 1

The measure of the angle is 12 degrees.

Step-by-step explanation:

To solve this problem, let's represent the angle as x. The supplement of the angle is 180 - x degrees, and the complement of the angle is 90 - x degrees. According to the problem, the supplement of the angle is 12 more than twice the complement. This can be written as:

180 - x = 2(90 - x) + 12

Simplifying the equation, we get:

180 - x = 180 - 2x + 12

Simplify further:

x = 12

Therefore, the measure of the angle is 12 degrees.