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:
[tex]4*180-(6x+5x+x+16+3x-1)=360[/tex]
Solve the equation to find (x), combine the like terms:
[tex]\begin{gathered} 720-(15x+15)=360 \\ 720-15x-15=360 \\ -15x=360-720+15 \\ -15x=-375 \\ x=\frac{-345}{-15}=23 \end{gathered}[/tex]
So, the answer will be x = 23
