passpadi

2003

Mathematics

67ca00ce0c643c71d77dee1f

In the diagram above, PQ is parallel to RS. What is the value of α + β + γ?

A.

360°

B.

200°

C.

180°

D.

90°

Correct Answer: 360°

Explanation

γ + S = 180(Allied angles) S = 180 - γ α + P = 180(Allied angles) p = 180 - α β = P + S β = 180 - α + 180 - γ β = 360 - α - γ β + α + γ = 360

γ + S = 180(Allied angles) S = 180 - γ α + P = 180(Allied angles) p = 180 - α β = P + S β = 180 - α + 180 - γ β = 360 - α - γ β + α + γ = 360
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