mariesavannah7685 mariesavannah7685
  • 16-03-2018
  • Mathematics
contestada

What is the measure of an angle if it is 180 less than 5 times its own supplement?

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msantiagoalvara msantiagoalvara
  • 22-03-2018
Complementary angles add up to 90 degrees. Let A = the angle, then 90 - A is its complement
So we can write A = 5(90-A) - 180 [180 LESS than 5 times its complement]
Solve for A:
A = 450 - 5A - 180
6A = 270
A = 45
Ans: 45 degrees
Check: 45 ?= 5*45 - 180 = 225 - 180 = 45
I think this is the answer for your question.

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