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
Which represents an exterior angle of triangle ABF?
∠BAD
∠AFE
∠CAD
∠CAB
Answers
GPT-4o mini
In triangle \( ABF \), the exterior angle at vertex \( F \) can be represented by the angle formed by extending line \( BF \) through point \( G \) and looking at the angle formed between line \( AF \) and line \( FG \).
The exterior angle of a triangle is equal to the sum of the two opposite interior angles. In triangle \( ABF \), the angle \( \angle AFE \) (assuming line \( FE \) extends outward from point \( F \)) is at vertex \( F \).
Thus, the correct answer that represents an exterior angle of triangle \( ABF \) is:
**∠AFE**.
The exterior angle of a triangle is equal to the sum of the two opposite interior angles. In triangle \( ABF \), the angle \( \angle AFE \) (assuming line \( FE \) extends outward from point \( F \)) is at vertex \( F \).
Thus, the correct answer that represents an exterior angle of triangle \( ABF \) is:
**∠AFE**.