MCQ
In Fig., the value of $x$ is:
- A$15^\circ$
- B$12^\circ$
- C$8^\circ$
- ✓$20^\circ$
✓
Answer
Correct option: D.
$20^\circ$
Let,$AB, CD$ and $EF$ intersect at $O$
$\angle\text{COB}=\angle\text{AOD}$ (Vertically opposite angle)
$\angle\text{AOD}=3\text{x}+10\text{ (i)}$
$\angle\text{AOE}+\angle\text{AOD}+\angle\text{DOF}=180^\circ$ (Linear pair)
$x + 3x + 10^\circ + 90^\circ = 180^\circ$
$4x + 100^\circ = 180^\circ$
$4x = 80^\circ$
$x = 20^\circ .$
$\angle\text{COB}=\angle\text{AOD}$ (Vertically opposite angle)
$\angle\text{AOD}=3\text{x}+10\text{ (i)}$
$\angle\text{AOE}+\angle\text{AOD}+\angle\text{DOF}=180^\circ$ (Linear pair)
$x + 3x + 10^\circ + 90^\circ = 180^\circ$
$4x + 100^\circ = 180^\circ$
$4x = 80^\circ$
$x = 20^\circ .$
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