Question

in the figure shown, ∠4 is an exterior angle. why do you think the term \exterior\ is used to describe ∠4? exterior means \outside,\ and ∠4 faces outside the triangle. exterior means \inside,\ and ∠4 faces inside the triangle.

Explanation:

To determine the correct explanation, we analyze the meaning of "exterior" (which means outside) and the position of ∠4. The triangle has interior angles (∠1, ∠2, ∠3) inside its boundary. ∠4 is formed by extending a side of the triangle and lies outside the triangle's interior. The first option correctly states that exterior means "outside" and ∠4 faces outside the triangle, while the second option misdefines "exterior" as "inside" and incorrectly claims ∠4 faces inside.

Answer:

A. Exterior means "outside," and ∠4 faces outside the triangle.