emmybear7205
emmybear7205 emmybear7205
  • 12-02-2021
  • Mathematics
contestada

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

Respuesta :

reeserl reeserl
  • 16-02-2021

Answer:

20°, 60°, 100°

Step-by-step 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

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