Answer:
x = 31
Step-by-step explanation:
∠A = x ( Vertically opposite angles )
Reason : -
If two lines are parallel, vertically opposite angles are equal.
∠C = 59 ( Vertically opposite angles )
Line AB is perpendicular to line CD,
So,
∠B = 90
∠A, ∠B and ∠C are interior angles of a triangle ABC.
Sum of interior angles of a triangle is supplementary ( = 180 ),
x + 59 + 90 = 180
x + 149 = 180
x = 180 - 149
x = 31
Hence, the measure of x is 31.
