Check the image,
a and b opposite angle, a=b
c and d opposite angle, c=d

now

z+a = 180 -d
d = 180-z-a .................i

In the same way,
e and f opposite angle, e = f
g and h opposite angle, g = h

now,

z+e = 180-h
h = 180-z-e.....................ii

Now from i and ii

Quantity A: d = 180-a-z
QuantityB: h = 180-z-h

Adding -180 both side
Quantity A: -a-z
QuantityB: -h-z

adding +z both side
Quantity A: -a
QuantityB: -h

adding +a both side
Quantity A: -a+a
QuantityB: -h+a

Quantity A: 0
Quantity B: -h+a

adding +h to both side
Quantity A: 0+h
Quantity B: -h+a+h

Quantity A: h
Quantity B: a

given a>h

Hence
Quantity A < Quantity B
Ans B

180-a is the ext angle -> 180-a=z+d {c=d vertically opp angles}
similarly, 180-h is the ext angle -> 180-h = z+e {f=e vertically opp angles}
given a>h -> z+d<z+e
subtracting z on both the sides -> d<e

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