based on the diagram, which reason justifies this statement? if ∠cef is complementary to ∠dcf, then ∠dcf ≅…

based on the diagram, which reason justifies this statement? if ∠cef is complementary to ∠dcf, then ∠dcf ≅ ∠feg. complements of the same angle are congruent. complements of congruent angles are congruent. supplements of the same angle are congruent. supplements of congruent angles are congruent.

based on the diagram, which reason justifies this statement? if ∠cef is complementary to ∠dcf, then ∠dcf ≅ ∠feg. complements of the same angle are congruent. complements of congruent angles are congruent. supplements of the same angle are congruent. supplements of congruent angles are congruent.

Answer

Answer:

Complements of the same angle are congruent.

Brief Explanations:

Since ∠CEF is complementary to ∠DCF and ∠CEF is also complementary to ∠FEG (as ∠CEG = 90°), ∠DCF and ∠FEG are complements of the same angle ∠CEF. So, by the property that complements of the same angle are congruent, ∠DCF ≅ ∠FEG.