The sum of the measures of the interior angles of a convex n-gon is (n-2)*180^(∘).
We can tell that one of the angles is a right angle. Therefore, its measure is 90. We are given the measures of the other interior angles of the polygon, so we can write an equation where the sum of the interior angles is equal to (n-2)180.
90+119+89+x+83= (n-2)180
Our polygon has 5 sides, so we can substitute 5 for n and solve our equation to find x. Let's solve it to find x.
