Answer :

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°

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