2000
Mathematics
67ca00ce0c643c71d77dee1f
In the diagram, If < RPS = 50°, < RPQ = 30° and pq = QR, Find the value of < prs
A.
50°
B.
60°
C.
70°
D.
80o
Correct Answer: 70°
Explanation
< QPR = < PRQ = 30° (PQ = QR) < SPQ + < QRS = 180° (supplementary) 80 + < QRS = 180° = < QRS = 180° - 80° = 100° < QRP + < PRS = 100° = 30o + < PRS = 100° = < PRS = 100° - 30° = 70°
< QPR = < PRQ = 30° (PQ = QR) < SPQ + < QRS = 180° (supplementary) 80 + < QRS = 180° = < QRS = 180° - 80° = 100° < QRP + < PRS = 100° = 30o + < PRS = 100° = < PRS = 100° - 30° = 70°THIS WEEK's
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