Ratio And Proportion Ques 3
Question-
The largest and the smallest angles of a triangle are in the ratio of 3:1 respectively. The second largest angle of the triangle is equal to $44^{\circ}$. What is the value of 150 per cent of the largest angle of the triangle?
(1) 149
(2) 129
(3) 153
(4) 173
(5) None of these
(UCO Bank PO Exam. 30.01.2011)
Show Answer
Correct Answer: (3)
Solution: (3)
Sum of angles of a triangle $=180^{\circ}$
$\Rightarrow 3 x+x+44=180$
$\Rightarrow 4 x=180-44=136$
$\Rightarrow x=\frac{136}{4}=34$
$\therefore$ Largest angle of triangle $=3 \times 34=102^{\circ}$
$\therefore 150 \%$ of $102=\frac{102 \times 150}{100}=153$
BETA
