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