Question

Which of the following are remote interior angles of 1? Check all that apply.

A. 2
B. 5
C. 3
D. 1
E. 4
F. 6

Answer 1

Given:

A figure of a triangle.

To find:

The remote interior angles of angle 1.

Solution:

Exterior angle theorem: According to this theorem, an exterior angle of a triangle is equal to the sum of the two opposite interior angles of that triangle.

Those two interior angles of the triangle are called remote interior angles of that exterior angle.

From the given figure it is clear that the angle 1 is an exterior angle, and the two opposite interior angles of the triangle are angle 5 and angle 5.

`\angle 1=\angle 5+\angle 6` (Exterior angle theorem)

So, ∠5 and ∠6 are the remote interior angles of ∠1.

Therefore, the correct options are B and F.