Question

what are the two remote interior angles for \\( \angle d \\)?

choose the correct answer below.

\\( \angle a \\) and \\( \angle c \\)
\\( \angle b \\) and \\( \angle a \\)
\\( \angle b \\) and \\( \angle c \\)
\\( \angle e \\) and \\( \angle f \\)

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Explanation:

Step1: Recall the definition of remote interior angles

Remote interior angles of an exterior angle are the two non - adjacent interior angles.

Step2: Analyze the position of ∠D

For ∠D, the non - adjacent interior angles are ∠B and ∠C.

Answer:

∠B and ∠C (the option “∠B and ∠C” is the correct one)