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 poi…

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asked Nov 12, 2021 116k views

2 Answers

Michele Bortolato · Answer 1 · 2021-11-19T07:52:43+0000

Answer:

(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
$\angle CAB$ .