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defon
3 years ago
9

It is given

Mathematics
1 answer:
vekshin13 years ago
3 0

Answer:

  • (C) DF=4 cm, ∠A=80⁰

Step-by-step explanation:

<h3>Question </h3>
  • It is given the ∆ABC≅∆FDE and AB=4 cm, ∠B=40⁰ and ∠E=60⁰, then which of the following is true.
  • (A) DE=4cm, ∠A=80⁰
  • (B) DE=4 cm, ∠C=80⁰
  • (C) DF=4 cm, ∠A=80⁰
  • (D) DF=4cm, ∠C=80⁰​
<h3>Solution</h3>

<u>Corresponding sides and angles are:</u>

  • AB ≅ FD
  • ∠A≅∠F, ∠B≅∠D, ∠C≅∠E

<u>Given</u>:

  • AB = 4 cm, so FD = 4 cm
  • ∠B = 40⁰ and ∠E = 60⁰, so  ∠D = 40⁰ and ∠C = 60⁰

and

  • ∠A = ∠F = 180⁰​ - (40⁰​ + 60⁰​) = 80⁰​

Considering all above we see that correct answer option is (C) ​

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