Question: 6. Use the given paragraph proof to write a two-column proof. Given: Triangle XYZ is a right triangle. ZZ is a right angle. Prove: LX

6. Use the given paragraph proof to write a two-column proof. Given: Triangle XYZ is a right triangle. ZZ is a right angle. Prove: LX and LY are complementary angles. Triangle XYZ is a right triangle, and ZZ is a right angle. So, mZZ = 90 by the definition of a right angle. By the Triangle Sum Theorem, mZX+ mZY+ mZZ = 180. By the Subtraction Property of Equality, mZX+ mZY+ mZZ-mZZ = 180 - mZZ. So, mZX+ mZY=90. Therefore, ZX and ZY are complementary angles by the definition of complementary angles

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