Question

Given mn, find the value of x. + (2x-26) (7x+8)

Answer 1

x = 22

Step-by-step explanation:

(2x -26) and (7x+8) are adjacent interior angles. It means that the sum of them is equal to 180°. So, we can write the following equation:

`(2x-26)+(7x+8)=180`

So, we can solve for x, as:

`\begin{gathered} 2x-26+7x+8=180 \\ 9x-18=180 \\ 9x-18+18=180+18 \\ 9x=198 \\ (9x)/(9)=(198)/(9) \\ x=22 \end{gathered}`

Therefore, the answer is x = 22