Question

Need help answering Y = …. Degrees &X = …. Degrees

Answer 1

∠110 and ∠x are corresponding angles, therefore:

`m\angle x=110`

The exterior angle is equal to the sum of the two opposite interior angles, therefore:

`\begin{gathered} 40+m\angle y=m\angle x \\ 40+m\angle y=110 \\ solve_{\text{ }}for_{\text{ }}m\angle y\colon \\ m\angle y=110-40 \\ m\angle y=70 \end{gathered}`

--------------------------------------------

the first triangle inequality theorem, the lengths of any two sides of a triangle must add up to more than the length of the third side. therefore:

`\begin{gathered} 15+20=35 \\ 35>x \end{gathered}`

where x is the missing side, besides:

`x>0`

so:

[tex]0