Question

if the angles of the triangle ABC in the ratio2:3:4. find the measures of the angle ABC.

Answer 1

Hey friend,
Here is the answer you were looking for:

Let the angles given be 2x, 3x and 4x
So,
As we know that sum of all sides of a triangle equals 180°
So,
2x + 3x + 4x = 180°

= 9x = 180°

x = 180 / 9

x = 20

So the measures of the angle of the triangle are:

= 2x
= 2 × 20
= 40°

= 3x
= 3 × 20
= 60°

= 4x
= 4 × 20
= 80°

Hope this helps!!!!

@Mahak24

Thanks...
☺☺

Answer 2

Hey friend !!

Here is your answer..

Given, ratio of the angles are in ratio 2:3:4 .

So, 2x + 3x + 4x = 9x

Angle of a triangle = 180°

==> 9x = 180°

==> x = 180° / 9

==> x = 20°

So the angles of the triangle are :

==> 2x = 2 * 20° = 40°

==> 3x = 3 * 20° = 60°

==> 4x = 4 * 20° = 100°

Hope it helps.