Question

Triangle A B F is shown. Line B F is extended through point G. Line F A is extended through point C. A line is drawn from point A to point D. A line is drawn from point F to point E. Which represents an exterior angle of triangle ABF? ∠BAD ∠AFE ∠CAD ∠CAB

Answer 1

D

Explanation:

Just took the test and got it right

Answer 2

(D)
`\angle CAB`.

Explanation:

The diagram is attached below:

Theorem: An exterior angle of a triangle is equal to the sum of the opposite interior angles.

The exterior angle is the angle formed by the third side and a straight line which forms a supplementary angle with the third interior angle.

In the diagram:

`\angle ABF$ and \angle AFB` are opposite interior angles.

The third angle is
`\angle BAF`

The angle which forms a supplementary angle with
`\angle BAF` is
`\angle CAB`.

Therefore, the exterior angle of triangle ABF is
`\angle CAB`.