alexis308460 alexis308460
  • 16-01-2020
  • Mathematics
contestada

The larger of two supplementary angles is 6 less than 5 times the smaller. Find the measure of the two angles.

Respuesta :

josshyaby
josshyaby josshyaby
  • 17-01-2020

Answer:

Step-by-step explanation:

Let the two angles be x and y

Then: y = 5x - 6

And x + y = 180° (the of supplementary angle is 180°)

Putting y = 5x - 6

x + 5x - 6 = 180

6x = 180 + 6

6x = 186

x = 186/6

x = 31°

And y = 5x - 6

y = 5(31) - 6

y = 155 - 6

y = 149°

The angles are 31° and 149°

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