Question

if the angles of a triangle are in ratio 2:3:4 find all the angles​

Answer 1

Step-by-step explanation:

Let common ratio be 2x,3x and 4x

let common ratio be x

∴ Angle are 2x, 3x and 4x

After it is in Attachment

Hope it Helps U

Answer 2

Given:

angles of the triangle in ratio : 2:3:4

To Find:

measure of all the angles

Solution:

Let the measure of the angles in the triangle be 2x°, 3x° and 4x°

We Know that,

Sum of all the angles of triangle is 180°

So, we can write it as,

$⟹$2x° + 3x° + 4x° = 180°

By addition:

$⟹$9x = 180°

By division:

$⟹$x = 180/9

$⟹$x = 20

By substituting the value of x:

$⟹$2x° = 2(20) = 40°

$⟹$3x° = 3(20) = 60°

$⟹$4x° = 4(20) = 80°

Therefore,

measure of all the angles of the triangle are ${\underline{\tt{\red{40°,60°\:and\:80°}}}}$