Which reason justifies the following statement? if cef is complementary to dcf, then dcf = feg .

(A) Complements of the same  angle are congruent.

Step-by-step explanation:

Since, ∠CEF is complementary to ∠DCF, therefore

∠CEF+∠DCF=90°                                 (1)

Also, ∠CEG=∠CEF+∠FEG

⇒90°=∠CEF+∠FEG                              (2)

Therefore, from(1) and (2), we get

∠CEF+∠DCF=90°    

∠CEF+∠FEG=90°

Subtracting both the equations, we get

  ∠DCF-∠FEG=0

∠DCF=∠FEG.

Hence, ∠DCF≅∠FEG by the rule: Complements of the same  angle are congruent.

Answer; Complements of the same angle are congruent.

step-by-step explanation:

use pothagarean therom

a^2+b^2=c^2 so first ac

acm is a right triangle because c= 90°

and am (the hypotenuse or c) =16+9 =25

but there is not enough info we need another angle or side length

not sure but it may be b, as i said i'm not sure.