subject
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.

ansver
Answers: 1

Another question on Mathematics

question
Mathematics, 21.06.2019 12:50
Suppose the probability of selling a car today is 0.28. find the odds against selling a car today.
Answers: 3
question
Mathematics, 21.06.2019 18:10
If a || b and b | y, then ? a) x || y. b) x | a. c) a | y. d) a || y.
Answers: 1
question
Mathematics, 21.06.2019 22:00
`if you have a set of parallel lines a and b cut by transversal x, if angle 1 = 167 degrees, what is angle 4 and why. also what is the measure of angle 5 and why? you need to use the names of the angle relationship and explain. ''.
Answers: 3
question
Mathematics, 21.06.2019 22:20
An object in geometry with no width, length or height is a(n):
Answers: 1
You know the right answer?
Given: , , and .Prove: ∠PCQ is complementary to ∠ABC. Proof: Since , m∠OCQ = 90° by the definition o...
Questions
Questions on the website: 13722361