Question

Anyone want to help me out? Totally lost! Adding details to comments,

Answer 1

Look at the bottom right angle, it says 5(x)-25

The angle has to be below 90

Try each value of x, see which give a result less than 90 to start with.

Answer 2

thanks!(:

Answer 3

Don't forget though, that the top left angle has to be above 90 too!

Answer 4

Because of opposite interior angles with parallel lines, the upper left angle, marked in green, is equal to
\[(x+30)°\]
Knowing that this new angle and 4x are supplements, they add up to 180°
\[x+30+4x=180\]
Solve for x
\[5x+30=180\]
\[5x=150\]
\[x=30\]
Use the value of x to find the angle marked in orange
\[30+30=60\]
Again, this angle and Angle 1 are supplements; they add up to 180°
\[60+angle=180\]
\[angle=120\]

Hope this helped.

It’s a little tricky to get the hang of it the first couple times you do it, but it’s a lot better than guess and check, in the long run.