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In the diagram above, PQ is parallel to RS. What is the value of α…

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

A.
360^o
B.
200^o
C.
180^o
D.
90^o

Correct Answer: Option A

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