In a parallelogram,
i) Opposite angles are equal i.e
[tex]\begin{gathered} d=f \\ e=110^0^{} \end{gathered}[/tex]
ii) Consecutive angles are supplementary i.e
[tex]110^0+f=180^0\text{ (Consecutive angles of a parallelogram are equal)}[/tex]
To find f, collect like terms
[tex]\begin{gathered} 110^0+f=180^0 \\ f=180^0-110^0=70^0 \\ f=70^0 \end{gathered}[/tex]
Since, d = f,
Thus,
[tex]\begin{gathered} d=f=70^0 \\ d=70^0 \end{gathered}[/tex]
Hence, the missing angles are d = f = 70° and e = 110°
