Question

find m∠bfc.
one way to get started is with a vertical angle
relationship. what is m∠afb?
m∠afb =

Explanation:

Step1: Analyze the right angle and given angle

We know that \( \angle AFG = 90^{\circ}\) (right - angle) and \( \angle EFD=28^{\circ}\). Also, \( \angle AFB+\angle BFG = 90^{\circ}\) and \( \angle EFD+\angle BFG = 90^{\circ}\) (because \( \angle AFG = 90^{\circ}\) and \( \angle AFG=\angle AFB+\angle BFG\), and \( \angle GFD = 90^{\circ}\), \( \angle GFD=\angle EFD+\angle BFG\)).

Step2: Use the property of complementary angles

If \(a + c=90^{\circ}\) and \(b + c = 90^{\circ}\), then \(a=b\) (by the property of complementary angles). Here, \(a = \angle AFB\), \(b=\angle EFD\) and \(c=\angle BFG\). So, \(m\angle AFB=m\angle EFD\).

Answer:

\(28\)