MCQ
The angle which is $\frac{1^\text{th}}{5}$ of its supplement is:
- A$15^\circ $
- ✓$30^\circ$
- C$45^\circ$
- D$60^\circ$
✓
Answer
Correct option: B.
$30^\circ$
Let the angles be $xx$ and its supplement be $y = 180 - x$
Given: $\text{x}=\frac{1}{5}\text{y}$
$\Rightarrow\text{x}=\frac{1}{5}\times(180-\text{x})$
$\Rightarrow5\text{x}=180-\text{x}$
$\Rightarrow6\text{x}=180$
$\therefore\text{x}=\frac{180}{6}$
$\therefore\text{x}=30^\circ$
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
The monthly fees for single rooms at $5$ colleges are $370, 310, 380, 340,$ and $310,$ respectively. What is the mean of these monthly fees?
→Mark against the correct answer in the following:
The mean proportional between $9$ and $16$ is:
→The mean proportional between $9$ and $16$ is:
Which of the following rational numbers is not to equivalent to $\frac{3}{5}?$
→A circle has
All repeating decimals are:
If $x y z=0$, then find the value of $\left(a^x\right)^{y z}+\left(a^y\right)^{z x}+\left(a^z\right)^{x y}=$
→An ore contains 5% copper. How much ore is required to obtain 400 g of copper?
In the given figure, $A B \| C D, \angle O A B=150^{\circ}$ and $\angle O C D=120^{\circ}$, Then, $\angle A O C=$ ?
→If $CP = Rs. 950$ and gain $6\%,$ then $SP =$
→What should be divided by 6 to get -18?