SOLUTION: Given: in ΔXYZ, ∠XYZ is a right angle. Prove: ∠YXZ and ∠YZX are complementary

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Question 395536: Given: in ΔXYZ, ∠XYZ is a right angle.
Prove: ∠YXZ and ∠YZX are complementary

Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
∠XYZ + ∠YXZ + ∠YZX = 180 degrees. Since ∠XYZ = 90,

90 + ∠YXZ + ∠YZX = 180

∠YXZ + ∠YZX = 90

Hence they're complementary.