Question

6. The angles of a triangle are in the ratio 2:3:4. The largest angle of the
triangle is​

Answer 1

Answer:

4x

x=20

the largest angle is 80°

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Answer 2

$\bf\huge\underline\red{Answer :-}$

The largest angle of the triangle is 80° respectively

Explanation :-

Given :

• Angles of the triangle are in the ratio - 2 : 3 : 4

To find :

The largest angle of the triangle

Solution :

Let the first angle be 2x

The second angle be 3x

And the third angle be 4x

We know that the sum of the three angles of the triangle is 180°

According to question,

$= > 2x + 3x + 4x = 180$

$= > 9x = 180$

$= > x = \dfrac{180}{9}$

$= > x = 20$

$\therefore$The value of x is 20°

Now,

The first angle => 2 × 20 = 40°

The second angle => 3 × 20 = 60°

The third angle => 4 × 20 = 80°

Hence, the largest angle of the triangle is 80°