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Verified Answer :

Answer:

The correct option is A.

Step-by-step explanation:

Line A and B are parallel lines.

\(\angle 1=3x\)             ....(1)           (Alternate exterior angles)

\(\angle 1+9x=180\)            (Supplementary angles)

\(3x+9x=180\)

\(12x=180\)

\(x=15\)

The value of x is 15.

Put this value in equation (1).

\(\angle 1=3\times 15=45\)

Therefore measures of angle 1 is 45° and option A is correct.