Answer:
This is a 30-60-90 triangle so you would do this formula:
Short side (opposite the 30 degree angle) = x.
Hypotenuse (opposite the 90 degree angle) = 2x.
Long side (opposite the 60 degree angle) = x√3.
Step-by-step explanation:
What is the question asking?
Since those are consecutive interior angles, we can conclude:
![\begin{gathered} 4x+6x=180 \\ _{\text{ }}add_{\text{ }}like_{\text{ }}terms\colon \\ 10x=180 \\ _{\text{ }}solve_{\text{ }}for_{\text{ }}x\colon \\ \frac{10x}{10}=\frac{180}{10} \\ x=18 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%204x%2B6x%3D180%20%5C%5C%20_%7B%5Ctext%7B%20%7D%7Dadd_%7B%5Ctext%7B%20%7D%7Dlike_%7B%5Ctext%7B%20%7D%7Dterms%5Ccolon%20%5C%5C%2010x%3D180%20%5C%5C%20_%7B%5Ctext%7B%20%7D%7Dsolve_%7B%5Ctext%7B%20%7D%7Dfor_%7B%5Ctext%7B%20%7D%7Dx%5Ccolon%20%5C%5C%20%5Cfrac%7B10x%7D%7B10%7D%3D%5Cfrac%7B180%7D%7B10%7D%20%5C%5C%20x%3D18%20%5Cend%7Bgathered%7D)
Answer:
18
7>x≥-2.
I believe this is correct
I added you :) I hope you don’t mind