Home » In the diagram, PF¯, QT¯, RG¯ intersect at S and PG||RG. If < SPQ =

In the diagram, PF¯, QT¯, RG¯ intersect at S and PG||RG. If < SPQ =

In the diagram, PF¯PF¯QT¯QT¯RG¯RG¯ intersect at S and PG||RG. If < SPQ = 113o and < RSt = 220, find < PSQ

  • A.
    22o
  • B.
    45o
  • C.
    67o
  • D.
    89o
Correct Answer: Option B
Explanation

In the diagram given, αα = 22o (vertically opp. angles), αα = ββ (alternate angles)

< PSQ + 133o + ββ = 180o (sum of angles of a ΔΔ)

< PSQ + 133o + 22o = 180o

< PSQ = 180o – (133 + 22)o

45o