Question

which of the following are exterior angles? check all that apply. a. ∠3 b. ∠4 c. ∠6 d. ∠1 e. ∠2 f. ∠5

Explanation:

Step1: Recall exterior - angle definition

An exterior angle of a triangle is formed by one side of the triangle and the extension of an adjacent side.

Step2: Analyze each angle

• $\angle3$: It is formed by extending one side of the triangle, so it is an exterior - angle.
• $\angle4$: It is formed by extending one side of the triangle, so it is an exterior - angle.
• $\angle6$: It is an interior angle of the triangle.
• $\angle1$: It is an interior angle of the triangle.
• $\angle2$: It is an interior angle of the triangle.
• $\angle5$: It is an interior angle of the triangle.

Answer:

A. $\angle3$, B. $\angle4$