Question

Two complementary angles are in the ratio 2:3. Find the large angle.​

Answer 1

HEY MATE HERE IS YOUR ANSWER ✍✍

➡️ we know that complementary angles measure 90°

Let the common ratio be x

Then.. 

2x+3x=90

5x=90

x=18 

So the angles will measure.. 

36°and 54°

54° is the measure of the larger angle

HOPE YOU GOT YOUR ANSWER ✌

Answer 2

Given :

• Two complementary angles are in ratio 2:3.

To Find :

• Measure of large angle.

Solution :

$\longmapsto\tt{Let\:1st\:angle\:be=2x}$

$\longmapsto\tt{Let\:2nd\:angle\:be=3x}$

As we know that sum of angles of complementary angles is 90°.

A.T.Q :

$\longmapsto\tt{2x+3x=90\degree}$

$\longmapsto\tt{5x=90\degree}$

$\longmapsto\tt{x=\cancel\dfrac{90}{5}}$

$\longmapsto\tt\bold{x=18}$

Value of x is 18...

Therefore :

$\longmapsto\tt{1st\:angle=2(18)}$

$\longmapsto\tt{36\degree}$

$\longmapsto\tt{2nd\:angle=3(18)}$

$\longmapsto\tt\bold{54\degree}$

So , The measure of large angle is 54°..