Answer:
C) 53
Step-by-step explanation:
In the trapezoid WXYZ, ZW and YX are parallel. So, the angles Z an Y will be co-interior angles and so they are supplementary.
∠Z + ∠Y = 180°
4x - 3 + 9x + 1 = 180
4x + 9x - 3 + 1 = 180
combine like terms,
13x - 2 = 180
Add 2 to both sides,
13x = 180 + 2
13x = 182
Divide both sides by 13,
x = 182 ÷ 13
[tex]\boxed{ x = 14}[/tex]
∠Z = 4x - 3
= 4*14 - 3
= 56 - 3
[tex]\boxed{\bf \angle Z = 53^\circ}[/tex]
