We know that diagonals in the rhombus are perpendicular one to each other.
According to this ∡WPX=90° = 7x+6
From given drawing we can see that ∡(7x+6)=90° => 7x=90-6=84
7x=84 => x=84/7= 12°
Angle ∡WXP = 2x+16 = 2* 12+16 = 24+16= 40°
Angles ∡WXP and ∡XWP are complemental => ∡WXP+∡XWP=90°
∡XWP=90-∡WXP= 90-40=50°
∡XWP≅∡WPZ=50° reason short diagonal bisect ∡XWZ => Then ∡XWZ=∡XWP+∡WPZ= 50+50=100°
∡XYZ≅∡XWZ=100° reason- opposite angles in the rhombus are equal
Good luck!!!