Question

Find the values of x, y, and z for which ABCD must be a parallelogram.

I tried this one but i don't think i am correct on it

Answer 1

A. x = 50, y = 130, z = 130

Explanation:

50 and z are adjacent angles,

Sum of adjacent angles = 180,

50 + z = 180

z = 180 - 50

z = 130

z and x are adjacent angles,

Sum of adjacent angles = 180,

x + z = 180

130 + x = 180

x = 180 - 130

x = 50

z and y are opposite angles,

Opposite angles are equal in a parallelogram,

z = y = 130