A parallelogram must have equivalent opposite interior angles.
We know that intern angles are represented by the following expression:
[tex]\begin{gathered} (n-2)\cdot180 \\ n=\text{vertices} \end{gathered}[/tex]Then, for a parallelogram:
[tex]\begin{gathered} (4-2)\cdot180=360\text{ degrees} \\ \text{All intern angles must add up 360\degree} \end{gathered}[/tex]We can create the following equation to find the value of ?:
Let ?=x be the missing angle
[tex]\begin{gathered} 110\cdot2+2x=360 \\ 2x=360-220 \\ x=\frac{140}{2} \\ x=70 \end{gathered}[/tex]The missing angles have a measure of 70°.
