In the following, write the correct answer. It is given that = an… - Vidyadip

MCQ

In the following, write the correct answer.
It is given that $\triangle\text{ABC}=\triangle\text{FDE}$ and AB = 5 cm, $∠\text{B} = 40°$and $∠\text{A} = 80°$then which of the following is true?

A
$\text{DF}=5\text{CM}, \angle\text{F}=60^{\circ}$
B
$\text{DF}=5\text{CM}, \angle\text{E}=60^{\circ}$
C
$\text{DE}=5\text{CM}, \angle\text{E}=60^{\circ}$
D
$\text{DE}=5\text{CM}, \angle\text{D}=40^{\circ}$

✓

Answer

$\text{DF}=5\text{CM}, \angle\text{E}=60^{\circ}$

Solution:
Given $\triangle\text{ABC}=\triangle\text{FDE}$ and AB = 5cm, $∠\text{B} = 40°,\angle\text{A}=80^{\circ}$
Since, $\triangle\text{ABC}=\triangle\text{FDE}$

DF = AB
DF = 5cm
$\angle\text{E}=\angle\text{C}$
$\angle\text{E}=\angle\text{C}=180^{\circ}-(\angle\text{A}+\angle\text{B})$
$\angle\text{E}=180^{\circ}-(80^{\circ}+40^{\circ})$
$\angle\text{E}=60^{\circ}$

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