SOLUTION: Given: in ΔXYZ, ∠XYZ is a right angle. Prove: ∠YXZ and ∠YZX are complementary
Algebra
->
Geometry-proofs
-> SOLUTION: Given: in ΔXYZ, ∠XYZ is a right angle. Prove: ∠YXZ and ∠YZX are complementary
Log On
Geometry: Proofs in Geometry
Geometry
Solvers
Solvers
Lessons
Lessons
Answers archive
Answers
Click here to see ALL problems on Geometry proofs
Question 395536
:
Given: in ΔXYZ, ∠XYZ is a right angle.
Prove: ∠YXZ and ∠YZX are complementary
Answer by
richard1234(7193)
(
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.