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Unilorin Post-UTME Mathematics 2022 (Model questions) Question 9

Question 9

Triangles and Quadrilaterals

From the diagram above, the value of x is

Diagram for this question
  1. A.90°
  2. B.110°
  3. C.100°
  4. D.80°
Show the answer and explanation

Answer: D (80°)

Explanation

LMNS is a cyclic quadrilateral, so opposite angles add up to 180°. x is opposite the 100° angle, so x = 180° − 100° = 80°.