∆ABC and ∆DEF are two triangles such that ∆ABC ≅ ∆FDE. If AB = 5 cm, ∠B = 40° and ∠A = 80°, then which of the following options is true?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. DF = 5 cm, ∠E = 60°.
Given that
∆ABC and ∆DEF are two triangles such that ∆ABC ≅ ∆FDE
AB = 5 cm, ∠B = 40°, and ∠A = 80° and FD = 5 cm
Then
∠A + ∠B + ∠C = 180°
⇒ 80° + 40° + ∠C = 180°
⇒ ∠C=60°
Also, ∠C = ∠E
Hence, ∠E = 60°