Question

ΔABC ≡ ΔFDE and AB = 5cm, ∠B=40° and ∠A = 80° then which of the following is true?

1. DF = 5cm, ∠F = 60°

2.DF = 5cm, ∠E = 60°

3. DE = 5cm, ∠E = 60°

4. DE = 5cm, ∠D = 40°

Answer 1

∆ABC congruence to ∆FDE ,
then,
AB = FD
BC=DE
AC=FE
and
angle ABC = angle FDE
angle BCA = angle DEF
angle CAB =angle EFD

now, given, angle ABC = 40° and angle CAB = 80° and AB = 5 cm

so, angle FDE = 40° and angle EFD= 80°
and FD = 5 cm

also DF = 5 cm
and angle DEF = 60°

so , option ( 2) is correct option .

Answer 2

Answer:

2. DF =5cm , angle E =60°

Step-by-step explanation:

Second option is correct