WXYZ is a kite. If the measure of angle WXY is 120°, the measure of angle WZY is 4x° and the measure of angle ZWX is 10x°, 120° is the measure of angle ZYX.
Solution
120° + 4x° + 10x° + Angle ZYX = 360°
120° + 14x° + Angle ZYX = 360°
14x° = 360° - 120° - Angle ZYX
14x° = 240° - Angle ZYX
x° = (240° - Angle ZYX) / 14
Angle WXY = Angle ZYX
120° = Angle ZYX

If the perimeter of an isosceles trapezoid is 59.9 meters, and the bases measure 23.2 meters and 17.1 meters, 9.8 meters is the length of each leg of the trapezoid.
Solution
Sum of the lengths of the legs = 59.9 meters - (23.2 meters + 17.1 meters)
Sum of the lengths of the legs = 19.6 meters
Length of each leg = 19.6 meters / 2
Length of each leg = 9.8 meters