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In the diagram, O is the centre, \(\bar{RT}\) is a diameter, < PQT = 33\(^o\) and ...



In the diagram, O is the centre, \(\bar{RT}\) is a diameter, < PQT = 33\(^o\) and <TOS = 76\(^o\). Using the diagram, calculate the value of angle PTR.
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  • A 73o
  • B 67o
  • C 57o
  • D 37o
Correct Answer: Option C
Explanation:
In the diagram given, < PRT = 3\(^o\) (Change in same segment)
< TPR = 90\(^o\) (angle in a semicircle)
Hence, < PTR = 180\(^o\) - (90 + 33)\(^o\)
= 180\(^o\) - 123\(^o\)
= 57\(^o\)

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