Mathematics

# Mark the correct alternative of the following.Two complementary angles are in the ratio $2:3$. The measure of the larger angle is?

$54^o$

##### SOLUTION
Two Angles are Complementary when they add up to $90^0$
Let, $A$ be smaller angle and $B$ be larger angle.
$\therefore \angle A+\angle B=90^0$        ...$(1)$
According to condition,
$\dfrac{\angle A}{\angle B}=\dfrac2{3}\\$
$\therefore \angle A=\dfrac2{3}\angle B\\$
putting this in equation $(1)$
$\dfrac2{3}\angle B+\angle B=90^0\\$
$\therefore \dfrac5{3}\angle B=90^0\\$
$\therefore \angle B=54^0\\$
$\therefore$ The measure of bigger angle is $54^0$

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Single Correct Medium Published on 09th 09, 2020
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