MCQ
In the given figure, $AB \| CD$, If $\angle\text{CAB}=80^\circ$ and $\angle\text{EFC}=25^\circ$ then $\angle\text{CEF}=?$ 
- ✓$55^\circ $
- B$75^\circ $
- C$65^\circ$
- D$45^\circ$
✓
Answer
Correct option: A.
$55^\circ $
$\angle\text{BAF}=\angle\text{DCF}=80^\circ$ (Corresponding angle)
In $\triangle\text{CEF}$
$\angle\text{CFE}+\angle\text{CEF}=\angle\text{DCF}$ (exterior angle is equal to the sum of its two opposite interior angles)
$25^\circ+\angle\text{CEF}=80^\circ$
$\angle\text{CEF}=55^\circ$
In $\triangle\text{CEF}$
$\angle\text{CFE}+\angle\text{CEF}=\angle\text{DCF}$ (exterior angle is equal to the sum of its two opposite interior angles)
$25^\circ+\angle\text{CEF}=80^\circ$
$\angle\text{CEF}=55^\circ$
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