Question

the measures of the angles in a triangle are in an extended ratio of 1:3:5. Find the measures of the 3 angles. ​

Answer 1

20°, 60°, 100°

Explanation:

Let x = measure of angle 1

3x = measure of angle 2

5x = measure of angle 3

Since the sum of the measures of the angles of a triangle is 180,

then x + 3x + 5x = 180

9x = 180

x = 20

3x = 3(20) = 60

5x = 5(20) = 100

Check: 20:60:100 = 1:3:5 and 20 + 60 + 100 = 180