Question

one way to get started is with a vertical angle relationship. what is ( mangle afb )?
( mangle afb = 28 )
how are ( angle afb ) and ( angle bfc ) related?
( angle afb ) and ( angle bfc ) combine to forma right angle.
( angle afb ) and ( angle bfc ) are vertical angles.
( angle afb ) and ( angle bfc ) combine to forma straight angle.

Explanation:

• A right angle is \(90^{\circ}\), and \(\angle AFB = 28^{\circ}\). If \(\angle AFB\) and \(\angle BFC\) formed a right angle, \(28^{\circ}+\angle BFC=90^{\circ}\), but from the figure, they don't.
• Vertical angles are opposite angles formed by two intersecting lines. \(\angle AFB\) and \(\angle BFC\) are not opposite in that sense.
• A straight angle is \(180^{\circ}\). \(\angle AFB\) and \(\angle BFC\) are adjacent angles that together form a straight - line (since \(AF\) is a vertical line and \(FC\) is a horizontal line, but actually, looking at the line \(BC\) and \(FC\) in terms of angle addition: \(\angle AFB+\angle BFC = 180^{\circ}\) (because they are adjacent angles on a straight line at point \(F\)).

Answer:

\(\angle AFB\) and \(\angle BFC\) combine to form a straight angle.