Question

if angle of a triangle are in the ration 2:3:4 Determined all the angle of a triangle
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Answer 1

Answer:

First angle of triangle = 2x = 2 × 20 = 40°

Second angle of triangle = 3x = 3 × 20 = 60°

Third angle of triangle = 4x = 4 × 20 = 80°

Step-by-step explanation:

Given:-

>> Ration of the triangle is 2:3:4.

To find:-

>> Measure of all angles = ?

Theorem used:-

>> Sum of all angles of the triangles = 180°

Procedure:-

Let's assume the angles to be 2x , 3x and 4x.

According to angle sum property, sum all all angles of triangle is 180 degrees.

So, equation formed :-

$\implies \sf 2x + 3x + 4x = 180$

$\implies \sf 9x = 180$

Dividing both sides by '9' :-

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

$\implies \sf x = 20$

We get x as 20.

First angle of triangle = 2x = 2 × 20 = 40°

Second angle of triangle = 3x = 3 × 20 = 60°

Third angle of triangle = 4x = 4 × 20 = 80°