Q:

Which of the following are exterior angles? Check all that apply

Accepted Solution

A:
Answer:Option B is the correct choice.Step-by-step explanation:We have been provided a diagram and we are asked to determine which options are correct about exterior angles of triangle.Let us see which of our given options are correct. An exterior angle equals to sum of measure of two non adjacent interior angles. We can see that [tex]\angle 5=\angle 1+\angle 3[/tex], therefore, [tex]\angle 5[/tex] is an exterior angle of our given triangle.Since we know that the outside angles that are vertical angles to the interior angles of triangle are not exterior angles. We can see that [tex]\angle 4[/tex] is vertical angle of [tex]\angle 2[/tex] (interior angle), therefore, option c is wrong.Angles [tex]\angle 1[/tex], [tex]\angle 2[/tex] and [tex]\angle 3[/tex] are interior angle of triangle.Therefore, only [tex]\angle 5[/tex] is exterior angle for our triangle.