ANSWER:
The value of x is 27.5°
The value of y is 70°
STEP-BY-STEP EXPLANATION:
In a parallelogram, the opposite angles are equal, therefore:
[tex]4x=110[/tex]
solving for x:
[tex]\begin{gathered} x=\frac{110}{4} \\ x=27.5\text{\degree} \end{gathered}[/tex]
The value of x is 27.5°
In the case of y, the sum of all the sides is 360 °, therefore
[tex]\begin{gathered} 360=y+110+110+y \\ \text{solving for y} \\ 2y=360-110-100 \\ y=\frac{140}{2} \\ y=70\text{\degree} \end{gathered}[/tex]
The value of y is 70°
