andreanelson3965 andreanelson3965
  • 11-07-2017
  • Mathematics
contestada

What is the measure of an angle whose supplement is three times its complement?

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ajb419
ajb419 ajb419
  • 11-07-2017
45 degrees. Since a supplementary angle totals to 180, and a complementary totals to 90, the answer would be 45, as 45 is the compliment to 45, and 135 is the supplemnt. 135/3 is 45, so the original angle must be 45.
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TheLazyNobita
TheLazyNobita TheLazyNobita
  • 06-06-2020

Answer:

45⁰

Step-by-step explanation:

Angke = x

Supplement = 180 - x

Complement = 90 - x

Given:

180 - x = 3(90 - x)

180 - x = 270 - 3x

2x = 90

x = 45⁰

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