Question

Find the value of x if m

Answer 1

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Draw the given figure

STEP 2: Identify the shape

The given figure is a Rhombus and has the following characteristics

A rhombus has four equal sides and opposite angles equal

STEP 4: solve for x

`\begin{gathered} 7x+7=13x-17 \\ \text{Subtract 7 from both sides} \\ 7x+7-7=13x-17-7 \\ 7x=13x-24 \\ \text{Subtract 13x from both sides} \\ 7x-13x=13x-24 \\ -6x=-24 \\ \text{Divide both sides by -6} \\ -(6x)/(-6)=-(24)/(-6) \\ x=4 \end{gathered}`

Hence, the value of x in the given figure is 4