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JAMB Mathematics 2023 Objective — Question 7

Question 7 of 40 from the Joint Admissions and Matriculation Board (JAMB) Mathematics 2023 Objective paper, with the correct answer and a full explanation.

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From the diagram (circle with points A, B, C, D and angle ABC=92°), find the value of angle ADC.

Diagram for question 7
  • A. 92°Correct
  • B. 108°
  • C. 88°
  • D. 272°

Explanation

∠ABC+92°=180° (angles on a straight line) ⇒ ∠ABC=88°. Since ABCD is a cyclic quadrilateral, ∠ABC+∠ADC=180° ⇒ ∠ADC=92°.

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