Question

Solve the above mentioned question.

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Answer 1

Answer:

tan(A+B)=1

A+B=45 (Tan45=1)

tan(A-B)=1/under root 3

A-B=30

SOLVE THE EQUATION

Step-by-step explanation:

a=37.5 and b=7.5

Answer 2

$tan \: (a + b) = 1 \\ \\ = tan(a + b) = tan45 \\ \\ = a + b = 45 \\ \\ \\ = tan(a - b) = \frac{1}{ \sqrt{3 } } \\ \\ = tan(a - b) = tan30 \\ \\ = a - b = 30 \\ \\ = a + b + a - b = 45 + 30 \\ \\ = 2a = 75 \\ \\ = a = \frac{75}{2} \\ \\ a = 37.5 \\ \\ now \\ \\ a + b = 45 \\ \\ 37.5 + b = 45 \\ b = 7.5$

HOPE IT WOULD HELP