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In the diagram above PQ is parallel to RS What ... - JAMB Mathematics 2003 Question

In the diagram above, PQ is parallel to RS. What is the value of α + β + γ?
A
360o
B
200o
C
180o
D
90o
correct option: a

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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