Question

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.

Answer 1

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.

Answer 2

In this case, 1 + 2, 1 + 3, or 2 + 3 are not complementary.

Answer 3

Thanks im slow when it's math.

Answer 4

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.