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x= 30 units

Step-by-step explanation:

so the small triangle of sides 3 and 6 is similar to the big triangle of side 3+15 and 6+ x units.(by A.A.A.axiom)

now since the triangles are similar their sides become proportional

i.e.

3/6= (15+3)/(6+x)

or, 1/2 = 18/(6+x)

or 6+x= 36

therefore x=30

c

step-by-step explanation: