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In the figure POQ is the diameter of the circle PQR. If PSR = 145o, find xo



In the figure POQ is the diameter of the circle PQR. If PSR = 145o, find xo
Take Free Practice Test On 2026 JAMB UTME, Post UTME, WAEC SSCE, GCE, NECO SSCE
  • A 25o
  • B 35o
  • C 45o
  • D 125o
  • E 55o
Correct Answer: Option E
Explanation:

< PRQ = \(\frac{1}{2}\) < POQ = 90o

< PSR + < PQR = 180o

< PQR = 180o - 145o = 35o

\(\bigtriangleup\)PQR is a right angled triangle

x = 90 - < PQR

= 90o - 35o

= 55o

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