JAMB - Mathematics (2003 - No. 38)

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

360^o

200^o

180^o

90^o

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