Question

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

Explanation:

Step1: Recall the definition of a right - angle

A right - angle has a measure of \(90^{\circ}\).

Step2: Use the angle - addition relationship

Since \(\angle AFB+\angle BFC = 90^{\circ}\) (they form a right - angle) and \(m\angle AFB = 28^{\circ}\). Let \(x=m\angle BFC\). Then the equation is \(28 + x=90\).

Step3: Solve the equation for \(x\)

Subtract \(28\) from both sides of the equation \(x=90 - 28\).

Answer:

\(62\)