Question

The measure of the supplement of an angle is 46 more than 3 times the complement of the angle. Find the angle.

A) angle =22

B) angle =68

C) angle =112

D) angle =44

Answer 1

Let’s call the angle we’re trying to find “x”. The supplement of the angle is 180 - x, and the complement of the angle is 90 - x. According to the problem, the measure of the supplement of the angle is 46 more than 3 times the complement of the angle. So we can write an equation:

180 - x = 3(90 - x) + 46

Solving for x, we get:

180 - x = 270 - 3x + 46 2x = 136 x = 68

So, the angle is 68 degrees. The correct answer is B) angle =68.

Explanation: