anonymous
  • anonymous
Given: || , and || . Prove: PCQ is complementary to ABC. Proof: Since , mOCQ = 90° by the definition of perpendicular lines. By angle addition, we can say mOCQ = mOCP + mPCQ. But since mOCQ = 90°, mOCP + mPCQ = 90° by the Transitive Property of Equality. [Missing Step] By the definition of congruent angles, mOCP = mABC. This leads to mABC + mPCQ = 90° by the Transitive Property of Equality. So, based on the definition of complementary angles, PCQ is complementary to ABC.
Mathematics
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katieb
  • katieb
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