Question

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

Answer 1

(B)∠5

Explanation:

Exterior angles are the angles which lie outside the triangle and is equal to the sum of the two angles of the triangle.

Since, from the given figure, ∠1,∠2 and ∠3 are the interior angles of the triangle and ∠5=∠2+∠3, thus, ∠5 is an exterior angle.

Also, we know that the outside angles that are vertical angles to the interior angles of triangle are not exterior angles. We can see that the ∠4 is vertical angle ∠2 (interior angle), thus, ∠4 is not an exterior angle.

Thus, option B is correct.

Answer 2

Option B is the correct choice.

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
`\angle 5=\angle 1+\angle 3`, therefore,
`\angle 5` 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
`\angle 4` is vertical angle of
`\angle 2` (interior angle), therefore, option c is wrong.

Angles
`\angle 1`,
`\angle 2` and
`\angle 3` are interior angle of triangle.

Therefore, only
`\angle 5` is exterior angle for our triangle.