MCQ
In Fig. if $AB \| CD$, the value of $x$ is:
- ✓$25$
- B$35$
- C$15$
- D$20$
✓
Answer
Correct option: A.
$25$
Since, $AB \| DE$
$\angle \text{DCB}=\angle \text{CBA}=3\text{x}^\circ$ [Alternate angles]
Now,
$\angle \text{ACB}+\angle \text{CAB}+\angle \text{CBA}=180^\circ$ [Angle sum property of triangle]
$\Rightarrow 55^\circ + 2\text{x}^\circ + 3\text{x}^\circ= 180$
$\Rightarrow 5\text{x}^\circ= 125^\circ$
$\Rightarrow \text{x} = 25$
Hence, the correct answer is option $(a).$
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