Question

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Answer 1

A+B=60

A-B=30

2B=30

=B=15

A+B=60

A=60-B

=60-15

= 45

Answer 2

tan(a+b)=1

tan(a+b)=45 {as tan 45degree =1}

tan (a-b)=1/√3

tan(a-b)=30 {as tan40 degree=1/√3}

now the equation are

a+b=45-------1

a-b=30-------2

solve it by elimination method...

a+b=45

a-b =30

(-)(+) (-)

-2b=15

b=15/2

put b=15/2 in equation 1 we get

a+15/2=45

2a+15/2=45

2a+15=45*2

2a=90-15

a=75/2