happyhedgehog15
happyhedgehog15 happyhedgehog15
  • 06-10-2019
  • Mathematics
contestada

An angle measures 80° less than the measure of its supplementary angle. What is the measure of each angle?

Respuesta :

jimrgrant1 jimrgrant1
  • 06-10-2019

Answer:

50° and 130°

Step-by-step explanation:

let one angle be x then the other angle is x - 80

Supplementary angles sum to 180°, thus

x + x - 80 = 180, that is

2x - 80 = 180 ( add 80 to both sides )

2x = 260 ( divide both sides by 2 )

x = 130

The angles are 130° and 130 - 80 = 50°

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