I hope that the attachment helps you..
Each of A, C, and D are rational, so presumably B is the answer here.
A is rational, since

, so

.
C is also rational. If

, then

. This would mean

, and so

.
D is rational by a similar argument. If

, then

. So,

, which means

.
Answer:
40°
Step-by-step explanation:
Vertically opposite angles are equal.

From given picture we can see that X is mid point of line PQ
So PQ=2PX
From given picture we can see that Y is mid point of line PR
So PR=2PY
Now consider triangles PRQ and PYX
Sides PQ and PX has same ratio as of sides PR and PY (as calculated above)
angle XPY= angle QPR (common angle)
Hence triangles PRQ and PYX are similar.
We know that ratio of the sides of similar triangles is always equal so we can write:

Plug the given values QR=8 and PQ=2PX





Hence final answer is XY = 4 units.
50% of 40 is 20, and 40% of 50 is 20, neither one is greater, they're equal