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In the diagram, O is the centre. If PQ//RS and ∠ONS = 140°, find the size of ∠POM.

Mathematics
WAEC 2015

In the diagram, O is the centre. If PQ//RS and ∠ONS = 140°, find the size of ∠POM.

  • A. 40o
  • B. 50o
  • C. 60o
  • D. 80o
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Correct Answer: Option A
Explanation

In the diagram above,

∠MNO = 140° and angles on a straight line is 180°

: ∠NMO = (180 - 140)° = 40°

Hence; ∠POM = 40° ( alternate angle ∠S)

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