\(\angle 2\) and \(\angle 6\) are corresponding angles and l||m from the arrows in the figure. \(\angle 2\cong \angle 6\) by the Corresponding Angles Postulate, which means that \(m\angle 6=76^{\circ}...\(\angle 2\) and \(\angle 6\) are corresponding angles and l||m from the arrows in the figure. \(\angle 2\cong \angle 6\) by the Corresponding Angles Postulate, which means that \(m\angle 6=76^{\circ}\). By the Corresponding Angles Postulate, we know \(\angle 1\cong \angle 5\), \(\angle 2\cong \angle 6\), \(\angle 3\cong \angle 7\), and \(\angle 4\cong \angle 8\), so \(m\angle 5=104^{\circ}\), \(m\angle 6=76^{\circ}\), \(m\angle 7=76^{\circ}\), and \(m\angle 8=104^{\circ}\).
