MCQ
In the given figure the measure of $\angle\text{D}$ and $\angle\text{F}$ are respectively :
- A$50^\circ , 40^\circ$
- ✓$20^\circ , 30^\circ$
- C$40^\circ , 50^\circ$
- D$30^\circ , 20^\circ$
✓
Answer
Correct option: B.
$20^\circ , 30^\circ$
$\triangle\text{ABC}$ and $\triangle\text{DEF,}$
$\frac{\text{AB}}{\text{AC}}=\frac{\text{EF}}{\text{ED}}$
$\angle\text{A}=\angle\text{E}=130^\circ$
$\triangle\text{ABC}\sim\triangle\text{EFD} \ (\text{SAS}$ Similarity$)$
$\therefore\angle\text{F}=\angle\text{B}=30^\circ$
$\angle\text{D}=\angle\text{C}=20^\circ$
Hence the correct answer is $B$.
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