Bishoptia2003 Bishoptia2003
  • 17-12-2019
  • Mathematics
contestada

Find the measure of an angle that is 8 degrees less than 3 time its supplement

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TaeKwonDoIsDead
TaeKwonDoIsDead TaeKwonDoIsDead
  • 29-12-2019

Answer:

133°

Step-by-step explanation:

If the angle is "x"

We can say:

Complement of the angle is 90 - x

Supplement of the angle is 180 - x

Given, ANGLE IS 8 less than 3 times its SUPPLEMENT, so we can write:

x = 3(180 - x) - 8

So, now multiply and solve for x:

[tex]x = 3(180 - x) - 8\\x=540-3x-8\\x=532-3x\\4x=532\\x=133[/tex]

Thus, the angle is 133 degrees

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