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

Need help answering Y = …. Degrees &X = …. Degrees-example-1
User Joseglego
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1 Answer

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17 votes

∠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}

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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
User Ksu
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