Question

The measures of the angles of a triangle are in the extended ratio 2:8:10. What's the measure of the smallest angle?

Answer 1

The angles of a triangle equal 180 degrees.

The ratio is 2:8:10.

Step 1: Add the ratios together: 2 + 8 + 10 = 20

Step 2: Divide the total angle by the total of the ratios: 180 / 20 = 9

Step 3: multiply 9 to each or the ratios to get each angle:
2 *9 = 18
8 * 9 = 72
10 * 9 = 90

The smallest angle is 18 degrees.