Question

Find the value of x. (geometry) (image attached)thank you ! :)

Answer 1

Given the figure of a polygon that has 4 sides

So, the sum of the interior angles = 360

But the given angles are the supplementary angles for the polygon

so, the angles of the polygon will be as follow:

180 - 6x

180 - 5x

180 - (x+16)

180 - (3x-1)

the sum of the angles = 360

So, we can write the following equation:

$4*180-(6x+5x+x+16+3x-1)=360$

Solve the equation to find (x), combine the like terms:

$\begin{gathered} 720-(15x+15)=360 \\ 720-15x-15=360 \\ -15x=360-720+15 \\ -15x=-375 \\ x=\frac{-345}{-15}=23 \end{gathered}$

So, the answer will be x = 23