artiomtyler007
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Suppose that in a certain triangle, the degree measures of the interior angles are in the ratio $2:3:4$.

If the largest interior angle measures $x^\circ$, what is the value of $x$?

Respuesta :

znk

Answer:

x = 80°

Step-by-step explanation:

Let the measures of each angle be 2y, 3y, and 4y. Then

2y + 3y + 4y = 180

               9y = 180

                 y =  20°

Then, the measure of the largest angle is

4y = 80°

 x = 80°

The largest interior angle is 80 degrees if the degree measures of the interior angles are in the ratio 2:3:4

What is the triangle?

In terms of geometry, the triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.

We have:

The degree measures of the interior angles are in the ratio 2:3:4

Let angles are 2x, 3x, and 4x

Then,

2x + 3x + 4x = 180

9x = 180

x = 20

The largest inetrior angle = 4x = 4(20) = 80 degrees

Thus, the largest interior angle is 80 degrees if the degree measures of the interior angles are in the ratio 2:3:4

Learn more about the triangle here:

brainly.com/question/25813512

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