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Answer:

Step-by-step EXPLANATION:

sin(B+C-A)=COS(C+A-B)=tan(A+B-C)=1

Since sin(B+C-A)=1 hence B+C-A=90⁰,……(i)

cos(C+A-B)=0 hence C+A-B=0⁰……….(ii)

tan(A+B-C)=1 hence A+B-C=45⁰………..(iii)

Adding (i)and(ii)GIVES 2C=90⁰ hence C =45⁰

Adding (ii) and ( iii) gives 2A= 45⁰ hence A=22.5⁰

From (i) B=90⁰+A-C=90⁰+22.5⁰–45⁰=67.5⁰



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