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What is the value of x in the parallellogram below?

What is the value of x in the parallellogram below?-example-1
User Zennehoy
by
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1 Answer

3 votes

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