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Question
If ABC and DEF are two triangles such that ΔABC \[\cong\] ΔFDE and AB = 5cm, ∠B = 40°
Options
DF = 5cm, ∠F = 60°
DE = 5cm, ∠E = 60°
DF = 5cm, ∠E = 60°
DE = 5cm, ∠D = 40°
Solution
It is given that ΔABC \[\cong\] ΔFDE and AB = 5 CM . ∠B = 40 , and ∠A = 80°
So AB = FD and ∠C = ∠E
Now, in triangle ABC,
∠A +∠B +∠C = 180°
⇒ 80 + 40 + ∠C = 180°
⇒ ∠C = 60°
Therefore,
DF = 5cm, ∠E = 60°
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