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Determine the value of x.Question options:A) 45° B) 50° C) 33.33°D) 56.67°

Determine the value of x.Question options:A) 45° B) 50° C) 33.33°D) 56.67°-example-1
User Miguel Galante
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1 Answer

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10 votes

We have that the sum of interior angles of every quadrilateral equals 360. Then, in this case, we have the following equation:


110+90+x+10+2x=360

solving for x, we get:


\begin{gathered} 110+90+x+10+2x=360 \\ \Rightarrow210+3x=360 \\ \Rightarrow3x=360-210=150 \\ \Rightarrow x=(150)/(3)=50 \\ x=50 \end{gathered}

therefore, x = 50

User Lumumba
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