Find the value of x. Then find the angle measures of the polygon.

Answer:The value of x is 43, the angle measures of the polygon are as follows:top left = 129top right = 86bottom left = 55bottom right = 90Step-by-step explanation:I calculated x with the following equation.3x + 2x + (x + 12) + (2x + 4) = 360Since all of the angles of this polygon add up to 360, I just put the angle measures on one side and 360 on the other. This is essentially like saying 360 = 360. Now all that is left to do is simplify and calculate the value of x.5x + (x + 12) + (2x + 4) = 3608x + 16 = 3608x = 344x = 43Next, I plug the angle's into their expressions to solve for their individual values.top left:3x3(43)129top right:2x2(43)86bottom left:(x + 12)(43 + 12)55bottom right:(2x + 4)[2(43) + 4](86 + 4)90All that is left to do is check our answer by adding up all the angles to see if they equal 360.129 + 86 + 55 + 90360Because this equals 360, this answer is correct.