Question

Rhombus ABFE is shown below Find x.x = 50x = -4x = 70x = 53

Answer 1

The opposite angles on a rhombus are equal, and, a rhombus is a quadrilateral which means that the sum of all internal angles is 360°, therefore,

`\begin{gathered} (x+13)+(2x+17)+(x+13)+(2x+17)=360 \\ \\ 2(x+13)+2(2x+17)=360 \\ \\ (x+13)+(2x+17)=(360)/(2) \\ \\ (x+13)+(2x+17)=180 \\ \\ 2x+x+13+17=180 \\ \\ 3x+30=180 \\ \\ 3x=180-30 \\ \\ 3x=150 \\ \\ x=(150)/(3)=50 \end{gathered}`

Therefore, x = 50