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HeYa❤️...
Answer:
tan(A+B) = 1
tan(A+B) = tan 45°. (tan 45° = 1)
A+ B = 45.............(i)
cos(A-B) = Root 3/2
cos(A-B) = cos 30°. (cos 30° = root3/2)
A - B= 30°................(ii)
From eq(i) and eq(ii),
Refer to attachment...
Hence, B = 15/2
Putting the value of B in eq (i),
A= 75/2
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The answer is 75/2 = 37.5
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