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

MCQ

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

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

✓

Answer

Correct option: B.

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

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

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

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