Question

It is given

the
\ABC = \FDE and AB = 4cm, \B-40 and
\E=60 then which of the following is true
LA DE=4 cm, ZA = 60°
(A)D F = 4cm , \A = 80° (B)DE =4cm. \C=80°(C)df=4cm\a=80°
(D) Df=ucm LC=80°​

Answer 1

• (C) DF=4 cm, ∠A=80⁰

Explanation:

Question

• 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​

Solution

Corresponding sides and angles are:

• AB ≅ FD
• ∠A≅∠F, ∠B≅∠D, ∠C≅∠E

Given:

• 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) ​