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

Answer:

D

Step-by-step explanation:

Just took the test and got it right

Answer 2

Answer:

(D) $\angle CAB$.

Step-by-step 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  $\angle CAB$.