Mathematics

In the diagram above, WXYZ is a rhombus and ∠WYX = 20°. What is the…

In the diagram above, WXYZ is a rhombus and ∠WYX = 20°. What is the value of ∠XZY

  • A.
    20o
  • B.
    30o
  • C.
    45o
  • D.
    60o
  • E.
    70o
Correct Answer: Option E
Explanation

Diagonals bisect at 90°;  < YXZ = 90° – 20° = 70°

But ZY = XY (sides of a rhombus)

(therefore) < XYZ = 70° (base angle of an isos. triangle)