Question

What is the value of x in the parallellogram below?

Answer 1

Given:

Side DC=

`5x-6`

Side AB=

`9x-30`
`\angle A=110\degree`

Required:

The value of

`x`

Answer:

We know that the opposite sides of the parallelogram are equal.

Therefore,

side DC = side AB

`\begin{gathered} 5x-6=9x-30 \\ 9x-5x=-6+30 \\ 4x=24 \\ x=6 \end{gathered}`

Final Answer:

The value of

`x=6`