Math, asked by rasmiraeesa, 1 year ago

angles of a triangle is in the ratio 2:3:4.. calculate the measure of the angles

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Answered by shreya504

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Answered by Mylo2145

First of all, I would like to tell you what is the theory in this question. We are given that the angles are in the ratio 2:3:4. What does it mean?

We know that, a triangle consists of three angles. Here, the angles are given in the form of a ratio where they are co-prime. So, let's assume that we must multiply each of them with a number x to get the required angles.

So, with this, we will start solving this problem.

Let the angles be 2x, 3x and 4x.

By Angle Sum Property,
We know that the sum of all the three angles in a triangle is 180°.

So, 2x + 3x + 4x = 180

=> 9x = 180

=> x = 20°

So, we get the value of x as 20°.

The solution does not end here. We need to find the measure of the angles of the triangle.

The angles were

2x = 2 × 20 = 40°

3x = 3 × 20 = 60°

4x = 4 × 20 = 80°

Thus, the three angles are 40°, 60° and 80°.

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