Question

find m∠dfc.
one way to get started is with a vertical angle relationship. what is m∠afd?
m∠afd = 28
how are ∠afb and ∠dfc related?
∠afb and ∠dfc combine to form a right angle.
what is m∠dfc?
m∠dfc =

Explanation:

Step1: Recall the property of complementary angles

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

Step2: Calculate \(m\angle BFC\)

Since \(\angle AFB\) and \(\angle BFC\) are complementary (they form a right - angle, \(m\angle AFB = 28^{\circ}\)), we use 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:

\(62\)