QUESTION IMAGE
Question
for the specified angle, click to identify the remote interior angles. 1. identify the remote interior angles for ∠6. the remote interior angles for ∠6 are ∠2 and ∠3. 2. identify the remote interior angles for ∠4. one of the remote interior angles is ∠1.
Step1: Recall remote interior angles
Remote interior angles of an exterior angle of a triangle are the two non - adjacent interior angles. For ∠4, we first identify the triangle related to ∠4. The triangle has vertices U, D, A. ∠4 is an exterior angle at D.
Step2: Identify non - adjacent interior angles
The interior angles of triangle UDA are ∠1, ∠2, and ∠3. The exterior angle ∠4 is at D, so the non - adjacent interior angles (remote interior angles) to ∠4 are ∠1 and ∠3. We know one is ∠1, so the other is ∠3.
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The remote interior angles for ∠4 are ∠1 and ∠3.