Mathematics
Mathematics, 24.11.2021 03:40, madskate9993

Given: , , and .Prove: ∠PCQ is complementary to ∠ABC. Proof: Since , m∠OCQ = 90° by the definition of perpendicular lines. By angle addition, we can say m∠OCQ = m∠OCP + m∠PCQ. But since m∠OCQ = 90°, m∠OCP + m∠PCQ = 90° by the Transitive Property of Equality.[Missing Step]By the definition of congruent angles, m∠OCP = m∠ABC. This leads tom∠ABC + m∠PCQ = 90° by the Transitive Property of Equality. So, based on the definition of complementary angles, ∠PCQ is complementary to ∠ABC.2What is the missing step in the given proof?A.∠PQC and ∠ACP are supplementary by the Linear Pair Theorem. B.For parallel lines cut by a transversal, corresponding angles are congruent, so ∠ACB ≅ ∠PCQ. C.∠OCP ≅ ∠BCD by the Vertical Angles Theorem. D.For parallel lines cut by a transversal, corresponding angles are congruent, so ∠OCP ≅ ∠ABC. E.For parallel lines cut by a transversal, corresponding angles are congruent, so ∠OCA ≅ ∠CBD.

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Given: , , and .Prove: ∠PCQ is complementary to ∠ABC. Proof: Since , m∠OCQ = 90° by the definition o...

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