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2. ∠3 and ∠6 are ______ because they are ______. supplementary/correspo…

Question

  1. ∠3 and ∠6 are ____ because they are ____. supplementary/corresponding angles congruent/corresponding angles congruent/same - side interior angles supplementary/same - side interior angles

Explanation:

Step1: Identify angle - pair type

$\angle3$ and $\angle6$ are on the same - side of the transversal $l$ and inside the parallel lines $m$ and $n$. So they are same - side interior angles.

Step2: Recall property of same - side interior angles

Same - side interior angles formed by two parallel lines and a transversal are supplementary, that is their sum is $180^{\circ}$.

Answer:

D. supplementary/same - side interior angles