Question

One angle has five times as many degrees as another angle. The greater angle has 120 degrees more than the lesser angle. How many degrees are in both angles?

Answer 1

b = 30 degrees

a = 150 degrees

Explanation:

Let's call a to the first angle and b to the second one. So we have:

a = 5*b (1)

and it says that the greater angle has 120 degrees more than the lesser angle. So It will be:

a = 120+b (2)

We just need to solve both equations. We can equal both of them.

5b = 120+b

4b = 120

b = 30 degrees

Therefore a = 5*30 = 150 degrees

a = 150 degrees

I hope it helps you!