Question

Can someone please help me find the value of X

Answer 1

The given figure represents a quadrilateral. The sum of the interior angles of a quadrilateral is equal to 360°. This is our working concept to solve for the value of x on the given figure. All we need to do is, to sum up, all the interior angles on the problem and their sum are equal to 360 °. This is written in an equation as

`(3x-6)+(x+10)+(2x-8)+x=360`

Simplify the equation and compute, we get

`\begin{gathered} 7x-4=360 \\ 7x=360+4 \\ (7x)/(7)=(364)/(7) \\ x=52 \end{gathered}`

Hence, the value of x on the problem is 52 degrees.