The measurement of angle A = 52 ° .
In question we need to find angle A ,
To find angle A using Law of Sines :
Law of Sine : ( a / sin A ) = ( b / sin B ) = ( c / sin C ) where a , b and c are the sides opposite to angle A , B and C resp. of a triangle .
Applying Law of Sines ,
25 / sin A = 28 / sin 62
sin A = ( 25 * sin 62 ) / 28
sin A = 0.7883
Therefore , angle A = 52 ° .
Hence , the measurement of angle A = 52 ° .
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