Gujarat BoardEnglish MediumSTD 7MATHSLines and Angles1 Mark
MCQ
The ratio between two complementary angles is $2 : 3$ find the smallest angle.
A
$26$
B
$25$
✓
$36$
D
$45$
✓
Answer
Correct option: C.
$36$
Two angles whose sum is $90^\circ $ are said to be complementary.
Given two angles are in the ratio of $2 : 3.$
Let the two angles be $2x$ and $3x.$
So, $2x + 3x = 90^\circ $
$\Rightarrow 5\text{x} = 90^\circ $
$\Rightarrow\text{x}=\frac{90}{5}$
$\Rightarrow\text{x}=18$
Therefore, the two angles are $2x = 36^\circ $ and $3x = 54^\circ $
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