Mathematics

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.
    360o
  • B.
    200o
  • C.
    180o
  • D.
    90o
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