In an acute angled triangle `A B C ,` if `tan(A+B-C)=1` and `,sec(B+C-A)=2,` find the value of `A ,Ba n dCdot`

Explanation

To solve the problem step by step, we will use the given equations and properties of triangles.

### Given:
1. \( \tan(A + B - C) = 1 \)
2. \( \sec(B + C - A) = 2 \)

### Step 1: Convert the equations to angle measures
From the first equation, since \( \tan(45^\circ) = 1 \):
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