Question

question 5 of 10
which of the following are remote interior angles of ∠1?
check all that apply.
image of a triangle with angles labeled 3,4,5,6 and a straight line forming angles 1,2 at the vertex with angle 3
a. ∠1
b. ∠2
c. ∠6
d. ∠5
e. ∠4
f. ∠3

Explanation:

Step1: Recall Remote Interior Angles

Remote interior angles of an exterior angle (here ∠1) are the two non - adjacent interior angles of the triangle. ∠1 is an exterior angle formed by extending a side of the triangle.

Step2: Identify Angles

The triangle has interior angles ∠4, ∠6, and the angle adjacent to ∠1 (which is ∠3, but ∠3 is adjacent to ∠1, not remote). ∠1 is the exterior angle itself, ∠2 is a linear pair with ∠1, so not interior. The remote interior angles relative to ∠1 should be the interior angles not adjacent to ∠1. So ∠4 and ∠6 are the remote interior angles.

Answer:

C. ∠6, E. ∠4