Noori

Hi, I don't know trig yet. Is there a different way of explaining the steps?

Can I have help with the steps for the second one? Could someone explain it?

So we know that angle LON is a straight angle. This means that angle LON is 180 degrees. 

We are given that angle LOM is equal to 4x+30 degrees. So, we know that the sum of LOM+MON= 180 degrees:

4x+30+8x+90=180

12x+120=180

12x=60

x=5

Now, we can substitute this in the equation for MON!

8x+90= 8(5)+90=40+90=130 degrees

Diagram: