Question

2. It is given that ∆ABC ≅ ∆FDE and AB = 6 cm, ∠B = 40⁰ and ∠A = 80⁰. What is length of

side DF of ∆FDE and its ∠E​

Answer 1

Step-by-step explanation:

DF=AB=6cm (corresponding side of a congurant triangle)

E=C

A+B+C=180

40+80+C=180

C=60

E=60

Answer 2

Answer:

Answer:Length of side DF of ∆FDE = 6cm and its ∠E= 60° .

Step-by-step explanation:

It is given that ∆ABC ≅ ∆FDE.

So triangle ABC is similar to the triangle FDE.

Then, ∠A = ∠F, ∠B = ∠D and ∠C = ∠E ( because these are corresponding angles )

Also, AB= FD, BC= DE and AC= FE ( These are corresponding sides.

In the triangle ABC,

$∠A + ∠B + ∠C = \: 180°$

We have, ∠A=80°, ∠B=40°

$∠C = 180°- (∠A+∠B)$

$∠C= 180°-120°$

$∠C=60°$

As ∆ ABC is similar to ∆ FDE,

∠C = ∠E= 60° ( due to corresponding angles)

we know that

∆ ABC is similar to ∆ FDE,

so AB= FD= 6cm. ( corresponding sides)

Conclusion:

Length of side DF of ∆FDE = 6cm and its ∠E= 60° .

for more information about similar triangle following links are provided:

https://brainly.in/question/21755428

https://brainly.in/question/31035293?.