MCQ
In Fig. if $AF || DE,$ then $x =$
- A$37$
- B$57$
- ✓$47$
- D$67$
✓
Answer
Correct option: C.
$47$
$\angle \text{EDC}=\angle \text{ACB}=109^\circ$ [Corresponding angles]
Now, In $\triangle \text{ABC}$
$\angle \text{ACB}+\angle \text{CAB}+\angle \text{CBA}=180^\circ$ [Angle sum property of triangle]
$\Rightarrow 109^\circ+24^\circ+\text{x}^\circ=180^\circ$
$\Rightarrow \text{x}^\circ=47^\circ$
$\Rightarrow \text{x}=47$
Hence, the correct answer is option $(c).$
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