Question

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

Answer 1

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