Question

How do I find the missing angles marked by letters in this parallelogram

Answer 1

In a parallelogram,

i) Opposite angles are equal i.e

`\begin{gathered} d=f \\ e=110^0^{} \end{gathered}`

ii) Consecutive angles are supplementary i.e

`110^0+f=180^0\text{ (Consecutive angles of a parallelogram are equal)}`

To find f, collect like terms

`\begin{gathered} 110^0+f=180^0 \\ f=180^0-110^0=70^0 \\ f=70^0 \end{gathered}`

Since, d = f,

Thus,

`\begin{gathered} d=f=70^0 \\ d=70^0 \end{gathered}`

Hence, the missing angles are d = f = 70° and e = 110°