If sin (A+B) = 1 and cos (A-B) = (root 3)÷2, find measure of angles A and B.

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If sin(A+B) =1 and cos(A-B)= √3/2, 0° A+B 90° and A B,then find the measures of angles A and B. If sin(A+B) =1 and cos(A-B)= √3/2, 0° A+B 90° and A B,then find the measures of angles A and B.
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