In the diagram, If lt; RPS = 50o, lt; RPQ = 30o and pq = QR, Find the value of lt; prs

In the diagram, If < RPS = 50^o, < RPQ = 30^o and pq = QR, Find the value of < prs

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A 50^o
B 60^o
C 70^o
D 80^o

Correct Answer: Option C

Explanation:
< QPR = < PRQ = 30^o (PQ = QR)
< SPQ + < QRS = 180^o (supplementary)
80 + < QRS = 180^o = < QRS = 180^o - 80^o = 100^o
< QRP + < PRS = 100^o = 30^o + < PRS = 100^o
= < PRS = 100^o - 30^o = 70^o

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In the diagram, If lt; RPS = 50o, lt; RPQ = 30o and pq = QR, Find the value of lt; prs

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

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