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If the mirror is turned through 15 degrees, then the angle of incidence becomes either  15 degrees more  or,  15 degrees less.

Hence, the angle of reflection also changes by 15 deg  more  or  by 15 deg  less.

Thus, the  angle between the incident ray and the reflected ray becomes  30 deg. more or  30 deg  less. as compared to the original situation.

So answer is twice the angle of turn of the mirror.
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