Question

two supplimentary angles are in the ratio 4:5 .Find the angle.
(I'm girl not boy)​

Answer 1

Answer:

100

Step-by-step explanation:

Let two angles be 4x and 5x

Sum of supplementary angles is 180  

o

∴4x+5x=180  

 

9x=180  

 

x=  20  

 

So, one angle = 4x=4×20=80  

Another angle = 5x=5×20=100  

Larger of two angle is 100  

 

Answer 2

Given :-

Ratio of two supplementary angles = 4 : 5

To Find :-

The angle.

Analysis :-

Consider the common ratio as x.

Then the two angles would be 4x and 5x.

Make an equation and get the value of the variable.

Substitute the value of the variable in the angles.

Solution :-

We know that,

Supplementary angles = 180°

Given that,

Ratio of two supplementary angles = 4 : 5

Let the two angles be '4x' and '5x' respectively.

Making an equation,

$\sf 4x+5x =180^{o}$

$\sf 9x =180^{o}$

Finding the value of x,

$\sf x=\dfrac{180}{9}$

$\sf x=20^{o}$

First angle = 4x

= 4 × 20

= 80°

Second angle = 5x

= 5 × 20

= 100°

Therefore, the two angles are 80° and 100°