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

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

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A 22^o
B 45^o
C 67^o
D 89^o

Correct Answer: Option B

Explanation:
In In the diagram given, \(\alpha\) = 22^o (vertically opp. angles), \(\alpha\) = \(\beta\) (alternate angles)
< PSQ + 133^o + \(\beta\) = 180^o (sum of angles of a \(\Delta\))
< PSQ + 133^o + 22^o = 180^o
< PSQ = 180^o - (133 + 22)^o
45^o

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In the diagram, \(\bar{PF}\), \(\bar{QT}\), \(\bar{RG}\) intersect at S and PG||RG. If ...

Take Free Practice Test On 2026 JAMB UTME, Post UTME, WAEC SSCE, GCE, NECO SSCE

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