Subjects geometry

Angle 3 5 9D1121

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1. **Problem:** Classify the angle pair \(\angle 3\) and \(\angle 5\) formed by two parallel lines and a transversal, and determine if they are congruent or supplementary. 2. **Formula and Rules:** - Corresponding angles are congruent. - Alternate interior angles are congruent. - Consecutive interior angles (same side interior) are supplementary. - Vertical angles are congruent. 3. **Identify the relationship:** - \(\angle 3\) and \(\angle 5\) are alternate interior angles because they lie between the two parallel lines on opposite sides of the transversal. 4. **Conclusion:** - Alternate interior angles are congruent. **Final answer:** \(\angle 3 \cong \angle 5\) (They are congruent.)
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