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In the diagram above, JKL is a tangent to the circle GHIK at K. Find...

Mathematics
WAEC 2024

In the diagram above, JKL is a tangent to the circle GHIK at K. Find the value of the angle marked x

  • A. 93º
  • B. 55º
  • C. 42º
  • D. 23º
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Correct Answer: Option B
Explanation

\(\angle\)KGL = 87º (exterior angle of a cyclic quadrilateral)

\(\angle\)KGL + \(\angle\)GLK + \(\angle\)LKG = 180º

87º + x + 38º = 180º

x = 180 - 87 - 38 = 55º

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