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 $x$?

Question

Mathematics

Peyton Porter

15 December, 04:55

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 $x$?

+4

Answers (1)

Know the Answer?

Leonardo Raymond · Answer 1

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°

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 $x$?

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 $x$?