What is the measures of the interior angles of a triangle if the triangle has a ratio 587?

If the interior angles of a triangle are in the ratio 5:8:7, you can find the measures of the angles by first adding the parts of the ratio together: 5 + 8 + 7 = 20 parts. Each part represents an angle, and since the sum of the interior angles of a triangle is 180 degrees, each part is worth 180/20 = 9 degrees. Therefore, the angles are 5 parts (45 degrees), 8 parts (72 degrees), and 7 parts (63 degrees). Thus, the measures of the interior angles are 45 degrees, 72 degrees, and 63 degrees.