steff45 steff45
  • 23-01-2019
  • Mathematics
contestada

The larger of two supplementary angles is 6 less then 5 times smaller

Respuesta :

choixongdong
choixongdong choixongdong
  • 23-01-2019

Answer:

The smaller angle = 31°

The larger angle = 149°

Step-by-step explanation:

The sum of two supplementary angles  = 180 degrees

Lets x = the smaller angle

larger angle = 5x - 6

So now you have the equation:

x + 5x - 6 = 180

6x - 6 = 180

6x = 186

x = 31

The smaller angle = 31 degrees

The larger angle = 5(31) - 6 = 149 degrees

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