Question

two complementary angles are in ratio 2 : 3 find angle​

Answer 1

$\bf\huge\underline{Answer}$

The two complementary angles are 36° and 54° respectively.

Explanation :-

Given :

• Ratio of two complementary angles - 2 : 3

To find :

The two complementary angles

Solution :

Let the first angle be 2x

and the second angle be 3x

We know that,

Sum of complementary angles = 90°

According to question,

$\sf\longrightarrow 2x + 3x = 90$

$\sf\longrightarrow 5x = 90$

$\sf\longrightarrow x = \dfrac{90}{5}$

$\sf\therefore x = 18$

Therefore,

The first angle => 2x = 2 × 18 = 36°

The second angle => 3x = 3 × 18 = 54°

Hence, the two angles are 36° and 54°

Answer 2

$\huge { \red {\underline{ \frak{Your \: answEr :}}}}$

$\large{\boxed{ \star \: \bold{\:Angles \: are \: 36° \: and \: 54°}}}$

$\huge { \red {\underline{ \frak{Explanation :}}}}$

$\large { \underline{ \mathcal{Given :}}}$

Complementary Angles are in Ratio 2:3

$\large { \underline{ \mathcal{To \: \: Find :}}}$

Q. Find the Angles ?

$\large { \underline{ \mathcal{Solution :}}}$

We Know that Sum of Complementary Angles are 90°.

* Let the Angles be 2x and 3x.

$\large\mapsto \bold{2x + 3x = 90}$

$\large\mapsto \bold{5x = 90}$

$\large\mapsto \bold{x = \frac{90}{5} }$

$\blue{ \large{\boxed{ \mapsto \bold x \: = 18° \: }}}$

$\blacksquare \underline{ \tt{ \: \: Complementary\:Angles \: Will \: Be :}}$

$\green{\large\odot \: \tt{2x = 2 \times 18 = 36° \: }}$

$\green{\large\odot \: \tt{3x = 3\times 18 = 54° }}$