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rs of angles of the given type. (see example 3.) 10. alternate interior…

Question

rs of angles of the given type. (see example 3.) 10. alternate interior 12. consecutive interior

Explanation:

Step1: Recall alternate - interior angles definition

Alternate - interior angles are non - adjacent angles between two parallel lines and on opposite sides of a transversal.
In the given figure, the pairs of alternate - interior angles are $\angle3$ and $\angle6$, $\angle4$ and $\angle5$.

Step2: Recall consecutive - interior angles definition

Consecutive - interior angles are non - adjacent angles between two parallel lines and on the same side of a transversal.
In the given figure, the pairs of consecutive - interior angles are $\angle3$ and $\angle5$, $\angle4$ and $\angle6$.

Answer:

  1. Alternate - interior angle pairs: $\angle3$ and $\angle6$, $\angle4$ and $\angle5$
  2. Consecutive - interior angle pairs: $\angle3$ and $\angle5$, $\angle4$ and $\angle6$