In the given figure, AB || CD, If =80^ and =25^ then =? - Vidyadip

Question

In the given figure, AB || CD, If $\angle\text{CAB}=80^\circ$ and $\angle\text{EFC}=25^\circ$ then $\angle\text{CEF}=?$

✓

Answer

55º
Solution:
$\angle\text{BAF}=\angle\text{DCF}=80^\circ$ (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)
$25^\circ+\angle\text{CEF}=80^\circ$
$\angle\text{CEF}=55^\circ$

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