SOLUTION: Given: <1 and <2 are complementary, <2 and <3 are complementary Prove: <1=<2

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Question 514688: Given: <1 and <2 are complementary, <2 and <3 are complementary
Prove: <1=<2

Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
I presume you mean angle 1 = angle 3 (because angles 1 and 2 do not necessarily have to be equal).

Let angle 1 = x, and angle 2 = 90-x. It follows that angle 3 = 90 - (90-x) = x, so angle 1 = angle 3.