The value of x will be x=12. so option A is correct.
What do you mean by AA postulate?
Using the AA postulate, triangles ABC and APQ are similar.
In similar triangles, corresponding sides are proportional.
This means that
AB/AP = BC/PQ
Substituting values,
AB = 15
AP = 15 + 7.5 = 22.5
PQ = 18
Thus,
15/22.5 = x / 18
To solve for x
x = 18(15/22.5)
x = 18(2/3)
x =12
Hence, The value of x will be x=12. so option A is correct.
Learn more about Similarity Postulate;
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