The diagram shows the line \(2y = x + 5\) and the curve \(y = x^2 - 4x + 7\), which intersect at the points \(A\) and \(B\). Find

(a) the \(x\)-coordinates of \(A\) and \(B\),

(b) the equation of the tangent to the curve at \(B\),

(c) the acute angle, in degrees correct to 1 decimal place, between this tangent and the line \(2y = x + 5\).