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

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Mathematics WAEC 2024

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

  • 93ยบ
  • 55ยบ checkmark
  • 42ยบ
  • 23ยบ

The correct answer is: B

Explanation

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

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

87ยบ + x + 38ยบ = 180ยบ

x = 180 - 87 - 38 = 55ยบ

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