scott24 scott24
  • 09-02-2017
  • Mathematics
contestada

One angle is 25 less than four times it's supplement. What is the measure of both angles?

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scme1702
scme1702 scme1702
  • 14-02-2017
Let the first angle be x and the second be y.

Supplementary angles add up to 180, so:
x + y = 180

Also, as given in the statement:
x = 4y - 25

Substituting into the first equation:
4y - 25 + y = 180
5y = 205
y = 41

x = 4(41) - 25
x = 139

One angle is 139° and the other is 41°.
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