nicolasjquijada
nicolasjquijada nicolasjquijada
  • 13-04-2021
  • Mathematics
contestada

An angle measures 56° less than the measure of its supplementary angle. What is the measure of each angle?​

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grokensmuh
grokensmuh grokensmuh
  • 13-04-2021

Answer:

118, 62

Step-by-step explanation:

We can set a system of equations where x and y are the two angles and x is the larger one

x+y=180

x-y=56

If we subtract the second equation from the first, we get 2y=124, simplifying that, we get y=62. Plugging it into either equation, we get x=118. We can check that 118 is 56 larger than 62, which it is. Thus, x=118, y=62.

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