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question 2 of 10 which of the following are remote interior angles of ∠…

Question

question 2 of 10
which of the following are remote interior angles of ∠5?
check all that apply.

a. ∠1
b. ∠3
c. ∠2
d. ∠4
e. ∠5
f. ∠6

Explanation:

Step1: Recall remote interior angles

Remote interior angles of an exterior angle are the two non - adjacent interior angles of the triangle. $\angle5$ is an exterior angle of the triangle formed by the two intersecting lines and the triangle with angles $\angle1$, $\angle2$, $\angle3$.

Step2: Identify non - adjacent interior angles

For exterior angle $\angle5$, the adjacent angle is $\angle3$ (since they form a linear pair). The interior angles of the triangle are $\angle1$, $\angle2$, $\angle3$. The non - adjacent interior angles to $\angle5$ are $\angle1$ and $\angle2$.

Answer:

A. $\angle1$, C. $\angle2$