Question

find $m\angle bfc$.
one way to get started is with a vertical angle relationship. what is $m\angle afb$?
$m\angle afb = 28^{circ}$
how are $\angle afb$ and $\angle bfc$ related?
$\angle afb$ and $\angle bfc$ combine to form a right angle.
what is $m\angle bfc$?
$m\angle bfc = \square^{circ}$

Explanation:

Step1: Recall the property of complementary angles

Complementary angles add up to \(90^{\circ}\).

Step2: Calculate \(m\angle BFC\)

Since \(\angle AFB\) and \(\angle BFC\) are complementary (they form a right - angle), and \(m\angle AFB = 28^{\circ}\), then \(m\angle BFC=90^{\circ}-m\angle AFB\).
Substitute \(m\angle AFB = 28^{\circ}\) into the formula: \(m\angle BFC = 90 - 28\).

Answer:

\(62\)