Question

Help plz 20 points

Solve for x, y, and z.

Answer 1

x = 36

y = 108

z = 72

Explanation:

Given quadrilateral is a rectangle.

Diagonals of a rectangle are congruent and bisects each other.

x° = 36° (alternate angles)

x = 36

y° = 180° - (36° + 36°) (vertical angles)

y°= 180° - 72°

y° = 108°

y = 108

z° = 36° + 36° (by exterior angle theorem)

z° = 72°

z = 72