Question

Two supplementary angles are in
the ratio 4:5 Find the
angles.​

Answer 1

☆ Solution ☆

Given :-

• Two supplementary angles are in the ratio 4:5.

To Find :-

• The angles.

Step-by-Step-Explaination :-

Let,

• The ratios be 4x and 5x

As we know that :-

The sum of two supplementary = 180°

According to the condition,

4x + 5x = 180°

9x = 180°

x = 180/9

x = 20

Thus,

The value of x is 20° .

Now,

4x = 4 × 20 = 80°

5x = 5 × 20 = 100°

Hence,

The angles are 80° and 100°.

Answer 2

$\huge\mathtt{\fcolorbox{lime}{navy}{\blue{Solution :-}}}$

$\color{red}{Let \: two \: angles \: be \: 4x \: and \: 5x.}$

$\color{green}Sum \: of \: supplementary \: angles \: is \: 180 °$

$\color{blue}∴ 4x + 5x = 180 °$

$\color{gold}9x = 180°$

${ \bf{\sf \: x = \frac{180}{9} }}$

$\color{navy}So, one angle = 4x = 4×20 = 80 °$

$\color{cyan}Another angle = 5x = 5×20 = 100 °$

$\color{olive}Larger Angle = 100°$

$\color{magenta}Smaller Angle = 80°$