Question

find ( mangle bfc ).
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 form a right angle.
( angle afb ) and ( angle bfc ) combine to form a straight angle.
( angle afb ) and ( angle bfc ) are vertical angles.

Explanation:

Step1: Identify the relationship between angles

\(\angle AFB\) and \(\angle BFC\) combine to form a right angle. A right - angle is \(90^{\circ}\).

Step2: Calculate \(m\angle BFC\)

We know that \(m\angle AFB = 28^{\circ}\). Using the formula \(m\angle BFC=90^{\circ}-m\angle AFB\).
Substitute \(m\angle AFB = 28^{\circ}\) into the formula: \(m\angle BFC = 90^{\circ}-28^{\circ}\).

$$m\angle BFC=62^{\circ}$$

Answer:

\(m\angle BFC = 62^{\circ}\)