Question

The difference between three times an angle's measure and its complement is 46. Find the measure of the angle

Answer 1

Explanation:

Equation

Let the angles measure = x

Let the complimentary angle = 90 - x

3x - (90 - x) = 46 Remove the brackets

Solution

3x - 90 + x = 56 Combine like terms on the left

4x - 90 = 56 Add 90 to both sides

4x - 90 +90 = 56 + 90 Combine

4x = 146 Divide by 4

4x/4 = 146/4

x = 36.5

Answer

The given angle is 36.5