WAEC Mathematics 2024 Objective — Question 31

Question 31 of 50 from the West African Examinations Council (WAEC) Mathematics 2024 Objective paper, with the correct answer and a full explanation.

31. In the diagram, JKL is a tangent to the circle GHIK at K. ∠LKG = 38° and ∠KHG = 87°. Calculate the value of the angle marked x.

• A. 93°
• B. 55°Correct
• C. 42°
• D. 23°

Explanation

KĜL = 87° (exterior angle of cyclic quadrilateral); in ΔKGL: 87°+x+38° = 180° → x = 55°.

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