Question

which angles are complementary to each other?
∠cfd and ∠afb
∠bfc and ∠efa
∠bfc and ∠cfe
∠dfe and ∠cfd

Explanation:

Step1: Recall complementary - angle definition

Two angles are complementary if their sum is 90°.

Step2: Analyze the angles at point F

Since ∠AFB = 90° (right - angle shown by the red square), and ∠BFC+∠EFA + ∠AFB= 180° (a straight - line forms an angle of 180°), and ∠AFB = 90°, then ∠BFC+∠EFA=90°.

Answer:

∠BFC and ∠EFA