MCQ
In fig. if $AB, CD$ and $EF$ are straight lines, then $x =$ 
- A$5$
- B$10$
- ✓$20$
- D$30$
✓
Answer
Correct option: C.
$20$
Let all the lines intersect at $O.$
$\angle \text{COF}=\angle \text{DOE}=4\text{x}^\circ$ [Vertically opposite angles]
$\angle \text{AOC}+\angle \text{COF}+\angle \text{BOF}=180^\circ [AOB$ is a straight line$]$
$\Rightarrow 2\text{x}^\circ+4\text{x}^\circ+3\text{x}^\circ=180^\circ$
$\Rightarrow 9\text{x}^\circ=180^\circ$
$\Rightarrow9\text{x}=180$
$\Rightarrow \text{x}=20$
Hence, the correct answer is option $(c).$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
Reciprocal of -6 is
Mark $(\checkmark)$ against the correct answer in the following:
$\text{if }\frac{\text{x}}{6}=\frac{7}{-3}$ then the value of $x$ is:
→$\text{if }\frac{\text{x}}{6}=\frac{7}{-3}$ then the value of $x$ is:
If $2x = 3y$ and $4y = 5z$, then $x : z =$
→The name of the solid shape is:
If the median of 10, 12, x, 6, 18 is 10, then which of the following is correct.
On increasing the salary of a man by $25\%$, it becomes $Rs. 20,000$. What was his original salary?
→Mark $(\checkmark)$ against the correct answer in the following:
Multiplicative inverse of $\frac{-2}{3}$ is:
→Multiplicative inverse of $\frac{-2}{3}$ is:
What should be multiplied to $6^{-2}$so that the product may be equal to $216?$
→If $\frac{x}{2}-1=\frac{x}{3}+4$, then $x=$ ?
→Factors of $-5 x^2 y^2 z$ are:
→