Question

Suppose in a certain triangle, the degree measures of the interior angles are in the ratio 2:3:4 If the largest angle measures x^,what is the value of x

Answer 1

Answer:

80°

Step-by-step explanation:

In the ratio $2:3:4$, the largest value corresponds to the largest angle. The sum of the ratio is $2+3+4=9$.

The sum of angles in a triangle is 180°. Then $x$ is given by

$x = \dfrac{4}{9}\times 180^\circ = 80^\circ$