question_answer

If\[\Delta ABC\tilde{\ }\Delta DFE,\angle A={{30}^{o}},\angle C={{50}^{o}},\]\[AB=\text{5cm},\]\[\text{AC}=\text{8cm}\] and\[~\text{DF}=\text{7}.\text{5 cm}\]. Which of the following is true?

A)  \[\text{DE}=\text{12cm},\text{ }\angle \text{F}=\text{5}0{}^\circ \]

B)  \[\text{DE}=\text{12cm},\text{ }\angle \text{F}=\text{1}00{}^\circ \]

C)  \[\text{EF}=\text{12cm},\text{ }\angle \text{D}=\text{1}00{}^\circ \]

D)  \[\text{EF}=\text{12cm},\text{ }\angle \text{D}=\text{3}0{}^\circ \]