Question

POSSIBLE POINTS

Use the given ratios to solve each problem. The ratio of the measures of the three angles in a triangle is 2:9:4. Find the measures of the angles. Write only the
numerical value. Arrange your angles in order of the given ratio.

Answer 1

The measures of the angles in the triangle are 24 degrees, 108 degrees, and 48 degrees, arranged in the order of the given ratio.

Step-by-step explanation:

The ratio of the measures of the three angles in a triangle is 2:9:4. To find the measures of the angles, we can divide the sum of the ratios by the total number of parts, which in this case is 2 + 9 + 4 = 15.

Angle 1: (2/15) * 180 = 24 degrees
Angle 2: (9/15) * 180 = 108 degrees
Angle 3: (4/15) * 180 = 48 degrees

Therefore, the measures of the angles in the triangle are 24 degrees, 108 degrees, and 48 degrees, arranged in the order of the given ratio: 2:9:4.

Learn more about Triangle angles