Question

Five times the complement of an angle is 9° less than twice the supplement of the angle. Find the angle.

A) 123°
B) 33°
C) 147°
D) 57°

Answer 1

To find the angle, assign a variable to it and form an equation based on the given information. Solve the equation to find the value of the angle, which is 123°.

Step-by-step explanation:

To find the angle, let's assign a variable to it. Let's call the angle x.

The complement of the angle is 90° - x, and the supplement of the angle is 180° - x.

According to the problem, 5 times the complement of the angle is 9° less than twice the supplement of the angle. So we can form the equation: 5(90° - x) = 2(180° - x) - 9°.

Solving this equation will give us the value of x, which represents the angle.

x = 123°