MCQ
Mark $(\checkmark)$ against the correct answer: In a $\triangle\text{ABC},$ If $A - B = 33^\circ $ and $B - C = 18^\circ $, then $\angle\text{B}=?$
- A$35^\circ$
- ✓$45^\circ$
- C$45^\circ$
- D$57^\circ$
✓
Answer
Correct option: B.
$45^\circ$
$\text{In}\ \triangle\text{ABC}:$
$A + B + C = 180^\circ .....(i)$
Given, $A - B = 33^\circ $
$A = 33^\circ + B .....(ii)$
$B - C = 18^\circ $
$C = B + 18^\circ .....(iii)$
Putting the values of $A$ and $B$ in equation $(i):$
$\Rightarrow B + 33^\circ + B + B - 18^\circ = 180^\circ $
$\Rightarrow 3B = 180^\circ - 15$
$\Rightarrow\text{B}=\frac{165^\circ}{3}=55^\circ$
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
If the mean of $n$ observations is $12$ and the sum of the observations is $132$, then the value of $n$ is:
→Mark $(\checkmark)$ against the correct answer. An angle is $24^\circ$ more than its complement. The measure of the angle is:
→If $\frac{1}{\text{a}}:\frac{1}{\text{b}}:\frac{1}{\text{c}}=3:4:5,$ then $\text{a}:\text{b}:\text{c}=$
→$(?) \div (-18) = -5$
→Mark against the correct answer in the following: If $2A = 3B$ and $4B = 5C$, then $A : C = ?$
→Mark against the correct answer in the following: If $2\text{x}+\frac{5}{3}=\frac{1}{4}\text{x}+4$, then $x = ?$
→Mark $(\checkmark)$ against the correct answer in the following:
Which of the following is correct?
→Which of the following is correct?
Mark $(\checkmark)$ against the correct answer.In the given figure, $\text{AOB}$ is a straight line, $\angle\text{AOC}=68^\circ$ and $\angle\text{BOC}=\text{x}^\circ$. The value of $x$ is:
→Which of the following is the set of measures of the sides of a triangle?
Mark $(\checkmark)$ against the correct answer in the following:What should be added to $2.06$ to get $3.1?$
→