In a parallelogram, the opposite angles are equal so: FED = DGF = 59x - 1 EDG = GFE = 121x + 1 And now since we know angles in a quadrilateral always add up to 360°, we can create an equation and solve for x: 2(59x - 1) + 2(121x + 1) = 360 118x - 2 + 242x + 2 = 360 360x = 360 x = 1 Now sub into our angle equations: FED = DGF = 59(1) - 1 = 58° EDG = GFE = 121(1) + 1 = 122°
