1. The problem asks to name the angle relationship between \(\angle 2\) and \(\angle 8\).\n\n2. Since lines \(p\) and \(q\) are parallel and \(s\) is a transversal, \(\angle 2\) and \(\angle 8\) are alternate interior angles. Alternate interior angles are equal when the lines are parallel.\n\n3. For the second part, we check which angle pairs are congruent given \(p \parallel q\):\n- \(\angle 9 \cong \angle 6\): True, these are corresponding angles.\n- \(\angle 10 \cong \angle 13\): True, these are alternate interior angles.\n- \(\angle 11 \cong \angle 15\): True, these are corresponding angles.\n- \(\angle 3 \cong \angle 5\): False, these angles are adjacent but not congruent by parallel line rules.\n- \(\angle 5 \cong \angle 15\): False, no direct relationship.\n- \(\angle 4 \cong \angle 7\): True, these are vertical angles and thus congruent.\n- \(\angle 2 \cong \angle 12\): True, these are alternate interior angles.\n- \(\angle 1 \cong \angle 7\): False, no direct relationship.\n\nFinal answers: True pairs are \(\angle 9 \cong \angle 6\), \(\angle 10 \cong \angle 13\), \(\angle 11 \cong \angle 15\), \(\angle 4 \cong \angle 7\), and \(\angle 2 \cong \angle 12\).
Angle Relationships 045581
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