In the diagram, \(\bar{PF}\), \(\bar{QT}\), \(\bar{RG}\) intersect at S and PG||RG. If < SPQ = 113o and < RSt = 220, find < PSQ

In the diagram, \(\bar{PF}\), \(\bar{QT}\), \(\bar{RG}\) intersect at S and PG||RG. If < SPQ = 113o and < RSt = 220, find < PSQ

A.

22o

B.

45o

C.

67o

D.

89o

Correct answer is B

In In the diagram given, \(\alpha\) = 22o (vertically opp. angles), \(\alpha\) = \(\beta\) (alternate angles)

< PSQ + 133o + \(\beta\) = 180o (sum of angles of a \(\Delta\))

< PSQ + 133o + 22o = 180o

< PSQ = 180o - (133 + 22)o

45o