Question

The quadrilateral below is a rectangle. Solve for x and m

Answer 1

x = 13

∠WZX = 57°

Explanation:

Because it is a rectangle, ∠XYZ is 90°

∠XZY + ∠YXZ = 90

(5x - 8) + (x + 20) = 90

simplify:

6x + 12 = 90

subtract 12 from each side

6x = 78

divide both sides by 6

x = 13

∠WZX is complimentary to angle (x + 20)

∠WZX = 90 - (13 + 20) = 57°