anonymous
  • anonymous
Yout friend knows that <1 and <2 are complementary and that <1 and <3 are complementary. He concludes that <2 and <3 must be complementary. What is his error in reasoning.
Mathematics
schrodinger
  • schrodinger
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anonymous
  • anonymous
They cannot be complementary because in order for them to be complementary, both of the angles would have to add up and equal 90 degrees.
anonymous
  • anonymous
In this case, 1 + 2, 1 + 3, or 2 + 3 are not complementary.
anonymous
  • anonymous
Thanks im slow when it's math.

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e.mccormick
  • e.mccormick
Basically, only the condition where they all = 45 degrees would make this true. Any other combination would be invalid. However, \(\angle\)2 and \(\angle\)3 would be the same value.

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