Question

If the angles of a triangle is in the ratio 2:3:4 find the angles?

Answer 1

Answer:

The angles of triangle are  40, 60 and 80.

Step-by-step explanation:

It is given that the angle of triangle are in the ratio 2 : 3 : 4. Let the angles are 2x, 3x and 4x.

According to the angle sum property, the sum of interior angles of a triangle is 180 degree.

The value of x is 20.

Therefore the angles of triangle are  40, 60 and 80.

Answer 2

Answer :-

• All the angles of triangle = 40°, 60° and 80°

Given :-

• Ratio of angles of triangle = 2 : 3 : 4

To Find :-

• All the angles of a triangle.

Step By Step Explanation :-

As we know the ratio of angles of triangle are 2 : 3 : 4.

Let us consider the angles be ⤵

2x, 3x and 4x

As we know that the sum of all the angles of a triangle = 180°

So equation will be ⤵

$\bigstar\boxed{ \underline{ \sf{ \green{2x + 3x + 4x = 180}}}}$

Now let us find the value of x !!

$\implies \sf2x + 3x + 4x = 180 \\ \\ \implies \sf 9x = 180 \\ \\ \implies \sf x = \cancel\cfrac{180}{9} \\ \\ \implies \sf \: x = 20$

Now x = 20°

Therefore all the angles will be ⤵

2x => 2 × 20 => 40°

3x => 3 × 20 => 60°

4x => 4 × 20 => 80°

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