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Question: 10. Since the lines \( p \) and \( q \) are parallel, this means that \( \angle 2 \) and \(…

  1. Since the lines \( p \) and \( q \) are parallel, this means that \( \angle 2 \) and \( \angle 3 \) are…

\[ \begin{array}{c} \text{congruent} \\ \text{not congruent} \end{array} \]

  1. Therefore, the \( m\angle 3 = \ldots \)

Solution

Since the lines \( p \) and \( q \) are parallel, angle \(\angle 2\) and angle \(\angle 3\) are alternate interior angles. For parallel lines cut by a transversal, alternate interior angles are congruent. Therefore, \(\angle 2\) and \(\angle 3\) are congruent.

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