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mixer [17]
3 years ago
13

Which reason justifies the following statement?

Mathematics
2 answers:
amid [387]3 years ago
3 0

Answer:

(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.

mafiozo [28]3 years ago
3 0

Answer; Complements of the same angle are congruent.

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