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angles 1 and 5 are: vertical angles a linear pair corresponding angles …

Question

angles 1 and 5 are: vertical angles a linear pair corresponding angles alternate interior angles alternate exterior angles consecutive interior angles

Explanation:

Step1: Recall definitions

  • Vertical angles: Opposite angles formed by two intersecting lines.
  • Linear pair: Adjacent angles that form a straight line ($\angle1$ and $\angle2$ is a linear pair, for example).
  • Corresponding angles: Angles in the same relative position. When a transversal crosses two lines, $\angle1$ and $\angle5$ are in the same "corner" position.
  • Alternate interior angles: Between the two lines and on opposite sides of the transversal (e.g., $\angle3$ and $\angle5$ if lines are parallel).
  • Alternate exterior angles: Outside the two lines and on opposite sides of the transversal.
  • Consecutive interior angles: Between the two lines and on the same side of the transversal.

Step2: Match $\angle1$ and $\angle5$ to definition

$\angle1$ and $\angle5$ are in the same relative position (top - left) with respect to the transversal and the two lines it intersects.

Answer:

corresponding angles