msukumara msukumara
  • 25-02-2019
  • Mathematics
contestada

an angle is twice its supplement. find the measure of the angles

Respuesta :

jimrgrant1 jimrgrant1
  • 25-02-2019

Answer:

120°

Step-by-step explanation:

Let the angle be x then twice it's supplement is 2(180 - x)

Equating the two gives

2(180 - x) = x ← distribute the parenthesis on the left side

360 - 2x = x ( subtract x from both sides )

360 - 3x = 0 ( subtract 360 from both sides )

- 3x = - 360 ( divide both sides by - 3 )

x = 120

The angle is x = 120°

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hannah1719
hannah1719 hannah1719
  • 01-03-2019
120 degrees because a supplementary angle is 2 angles combined
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