Question

which angle is complementary to ∠cfd?

Explanation:

Step1: Recall the definition of complementary angles

Complementary angles are two angles whose sum is \(90^{\circ}\).

Step2: Analyze the given figure

Since \(\angle BFA = 90^{\circ}\) (right - angle), and \(\angle BFC+\angle CFD+\angle DFE = 180^{\circ}-\angle BFA=90^{\circ}\). But from the figure, we know that \(\angle DFE\) and \(\angle CFD\) together with other angles at point \(F\) form a right - angle related structure. In fact, \(\angle DFE\) is complementary to \(\angle CFD\) because \(\angle CFD+\angle DFE = 90^{\circ}\) (as \(\angle BFA = 90^{\circ}\) and the sum of angles around a point on a straight line and the right - angle relationship).

Answer:

\(\angle DFE\)