Question

$EH=8x-7,FG=5x+11$In the following figure, a parallelogram $EFGH$is given and $m\angle EFG=70$. If then find x.

Short answer

The measure of $x=6$ .

Step-by-step solution

Step 1. Apply the concept of a parallelogram.

In a parallelogram, the opposite sides are congruent.

Step 2. Check the figure.

Consider the figure.

Step 3. Step description.

Here $EH=8x-7,FG=5x+11$.

Since the opposite sides of the parallelogram thus find the value of x as follows:

$\begin{array}{c}EH=FG\\ 8x-7=5x+11\\ 8x-5x=11+7\\ 3x=18\\ x=6\end{array}$

Therefore, the measure is $x=6$.