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Post-UTME Mathematics 2018 Objective — Question 8

Question 8 of 20 from the Post-UTME Screening (Post-UTME) Mathematics 2018 Objective paper, with the correct answer and a full explanation.

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Use the diagram below (O is the centre of the circle, with angles x and y marked) to answer this question. In the diagram above, O is the centre of the circle. The relationship between x degrees and y degrees is

  • A. x + y = 180 degreesCorrect
  • B. (1/2)x + y = 180 degrees
  • C. x + y = 240 degrees
  • D. (1/2)x + y = 240 degrees

Explanation

The given configuration corresponds to a cyclic quadrilateral property, giving x + y = 180 degrees. (Note: this question depends on a diagram in the source scan that was not fully legible; the answer given is a best estimate.)

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