Subjects geometry

Alternate Interior Cc0Cde

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Use the AI math solver

1. The problem states that PR and SU are parallel lines, and we need to identify which pairs of angles are alternate interior angles. 2. Alternate interior angles are pairs of angles that lie between two parallel lines on opposite sides of a transversal. 3. Given the points and lines, the transversal is the diagonal line passing through points V, T, and Q. 4. We look for angle pairs that are on opposite sides of the transversal and between the parallel lines PR and SU. 5. The pairs given are: - \(\angle STV\) and \(\angle PQT\) - \(\angle STQ\) and \(\angle RQT\) - \(\angle PQT\) and \(\angle RQT\) - \(\angle PQO\) and \(\angle STQ\) 6. By analyzing the positions: - \(\angle STQ\) and \(\angle RQT\) are on opposite sides of the transversal and between the parallel lines, so they are alternate interior angles. 7. Therefore, the correct pair of alternate interior angles is \(\angle STQ\) and \(\angle RQT\).