x=31
y=5
Explanation
Step 1
if the green angles are equal and the blue angles are equal, then
is is a parallelogram, then
[tex]\begin{gathered} green\text{ angle} \\ 5y=25 \\ \\ y=\frac{25}{5} \\ \\ y=5 \end{gathered}[/tex]
Step 2
blue angles
we do not have the value for the last angle, but we know
" the sum of the internal angles of a quadrilateral = 360
replacin
2 green angles +1 blue angle+5x=360
2*5y+5x+5x=360
[tex]\begin{gathered} 10y+10x=360 \\ 10x=360-10y \\ x=36-y \\ \text{replace }y=5 \\ x=36-5 \\ x=31 \end{gathered}[/tex]
I hope this helps you
