1. By the area formula for a triangle, the area is \(\frac{6 \cdot 8}{2} = 24\)
2. Since the sum of the angles in any triangle is \(180^\circ\), we have \(\angle{BAC} = 180^\circ - \angle{ABC} - \angle{ACB} = 180^\circ - 135^\circ - 30^\circ = 15^\circ.\)