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18 votes
18 votes
Find the value of xOptions are 110, 80, 35, 40

Find the value of xOptions are 110, 80, 35, 40-example-1
User Zmccord
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1 Answer

6 votes
6 votes

The sum of all angles in a triangle is 180º. Therefore:


\begin{gathered} 180=\text{ 30 + \lparen3x-10\rparen + x} \\ 180=\text{ 30 +3x -10 + x} \\ 180\text{ = 20 + 4x} \\ 180\text{ - 20 = 4x} \\ 160=\text{ 4x} \\ \\ (160)/(4)=\text{ x} \\ \\ 40=\text{ x} \end{gathered}

X will be 40º.

User Tmgr
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