Question

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

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

Answer 1

A.
`\angle 2`

B.
`\angle 4`

Explanation:

Exterior angle: Exterior angle is that angle which is formed by one side and extended adjacent side of the triangle at out side .

In other words,

We can say that

Exterior angle is that angle which form linear pair with one of the interior angles of the triangle.

It means sum of exterior angle and one of interior angle =180 degrees.

By definition of exterior angle

Angle 4 and angle 2 are exterior angles.

Hence, option A and B are true.

Answer 2

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

FACTS:

• Every triangle has 6 exterior angles, two at each vertex.
• Notice that the "outside" angles that are "vertical" to the angles inside the triangle are NOT called exterior angles of a triangle.

1. Angles 1, 5 and 6 are inteior angles of the given triangle.

2. Angle 3 is vertical to the interior angle 5.

3. Angles 2 and 4 are exterior angles of the triangle.

Answer: correct options are A and B.