Question

it is given the ∆ABC=∆FDE and AB=4cm,and angle B =40° and Angle E=60° which of the following is true

(A) DE=4cm,Angle A=80°
(B) DE=4cm,Angle C=80°
(C) DF=4cm,Angle A=80°
(D) DF=4cm,Angle C=80°​

Answer 1

Answer:

(B) DE=4cm,Angle C=80°

Answer 2

Given : ΔABC ≅ Δ FDE

AB = 4cm

∠B = 40°

∠E = 60°

To Find : which is the following is true

(a) DE =4cm ,angle A = 80°

(b) DE=4cm , angle C= 80°

(c) DF=4cm, angle A=80°

(d) DF=4cm,angle C = 80 °​

Solution:

ΔABC ≅ Δ FDE

corresponding sides and angles are equal

AB = DF  =>  DF = 4 cm  

BC = DE

AC = FE

∠A = ∠F  

∠B = ∠D =  40°

∠C = ∠E  =  60°

=> ∠A = ∠F  =  ( 180° - 40°  - 60°) = 80°

Hence correct option is :

(c) DF=4cm, angle A=80°

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