Question

If the ratio of the angles of a triangle be 4:5:9
find the angles
whoever answers will be marked as the brainliest​

Answer 1

Step-by-step explanation:

Given:-

the ratio of the angles of a triangle be 4:5:9

To find:-

find the angles.

Solution:-

the ratio of the angles of a triangle = 4:5:9

Let they be 4x,5x,9x

we know that

"The sum of all interior angles of a triangle is 180°".

=>4x+5x+9x=180°

=>18x=180°

=>x=180°/18

=>x=10°

now,

4x=4(10°)=40°

5x=5(10°)=50°

9x=9(10°)=90°

Answer:-

The angles of the given triangle are 40°,50°,90°

It is a right angled triangle.

Answer 2

Answer:

Angles of the triangle = 40°,50° and 90°

Step-by-step explanation:

Given :

Angles of the triangle are in ratio is 4:5:9

Sum of all angles of the triangle = 180°

To find :

The angles of the triangle

Taken :

Let the angles be x

To find the angles use this equation -:

$\boxed{\rm{4x+5x+9x={180}^{\circ}}}$

After that multiply with the ratio to find the angles of the triangle.

Solution :

$:\implies\rm{4x+5x+9x={180}^{\circ}}$

$:\implies\rm{9x+9x={180}^{\circ}}$

$:\implies\rm{18x={180}^{\circ}}$

$:\implies\rm{x=\cancel{\dfrac{{180}^{\circ}}{18}}}$

$:\implies\rm{x={10}^{\circ}}$

First angle -:

$:\implies\rm{{10}^{\circ}\times4}$

$:\implies\rm{{40}^{\circ}}$

Second angle -:

$:\implies\rm{{10}^{\circ}\times5}$

$:\implies\rm{{50}^{\circ}}$

Third angle -:

$:\implies\rm{{10}^{\circ}\times9}$

$:\implies\rm{{90}^{\circ}}$

So , the angles of the triangle is 40°,50° and 90° respectively.