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15. same - side interior 16. corresponding 17. alternate exterior

Question

  1. same - side interior
  2. corresponding
  3. alternate exterior

Explanation:

Step1: Identify same - side interior angles

Same - side interior angles are on the same side of the transversal and inside the two lines. For the given figure, $\angle2$ and $\angle5$ are same - side interior angles.

Step2: Identify corresponding angles

Corresponding angles are in the same relative position with respect to the transversal and the two lines. $\angle1$ and $\angle5$ are corresponding angles.

Step3: Identify alternate exterior angles

Alternate exterior angles are on opposite sides of the transversal and outside the two lines. $\angle3$ and $\angle7$ are alternate exterior angles.

Answer:

  1. $\angle2$ and $\angle5$
  2. $\angle1$ and $\angle5$
  3. $\angle3$ and $\angle7$