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In the diagram If lt RPS 50o lt RPQ 30o and pq ... - JAMB Mathematics 2000 Question

In the diagram, If < RPS = 50o, < RPQ = 30o and pq = QR, Find the value of < prs
A
50o
B
60o
C
70o
D
80o
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Correct Option: C

< QPR = < PRQ = 30o (PQ = QR)

< SPQ + < QRS = 180o (supplementary)

80 + < QRS = 180o = < QRS = 180o - 80o = 100o

< QRP + < PRS = 100o = 30o + < PRS = 100o

= < PRS = 100o - 30o = 70o

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