Question 7
It is given that ΔABC≅ΔFDE and AB =5 cm, ∠B=40∘and∠A=80∘, then which of the following is true?
(A) DF = 5 cm. ∠F=60∘ (B) DF = 5 cm. ∠E=60∘ (C) DE = 5 cm. ∠E=60∘ (D) DE = 5 cm. ∠D=60∘
Open in App
Solution
GivenΔABC≅ΔFDE and AB=5cm,∠B=40∘,∠A=80∘
Since, ΔFDE≅ΔABC ∴ DF=AB [by CPCT]
DF =5cm
and ∠E=∠C [by CPCT] ⇒∠E=∠C=180∘−(∠A+∠B) ⇒∠E=180∘−(80∘+40∘)⇒∠E=60∘