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WAEC Mathematics questions: Euclidean geometry

26 questions with answers and explanations. Tap an option to check yourself.

  1. Question 1· Euclidean geometry· WAEC

    A tangent to a circle meets the radius at the point of contact at

    Explanation and discussion
  2. Question 2· Euclidean geometry· WAEC

    The angles of a triangle are x°, 2x° and 3x°. The largest angle is

    Explanation and discussion
  3. Question 3· Euclidean geometry· WAEC

    Find the sum of the interior angles of a seven-sided polygon.

    Explanation and discussion
  4. Question 4· Euclidean geometry· WAEC

    A, B and C lie on a circle with centre O, and C is on the major arc AB. If angle AOB = 130°, find angle ACB.

    Explanation and discussion
  5. Question 5· Euclidean geometry· WAEC

    One angle of a cyclic quadrilateral is 72°. Find the angle opposite to it.

    Explanation and discussion
  6. Question 6· Euclidean geometry· WAEC

    A polygon has 8 sides. What is the total of its interior angles?

    Explanation and discussion
  7. Question 7· Euclidean geometry· WAEC

    The angle subtended by an arc at the centre of a circle is 110°. The angle it subtends at the circumference is

    Explanation and discussion
  8. Question 8· Euclidean geometry· WAEC

    Opposite angles of a cyclic quadrilateral are

    Explanation and discussion
  9. Question 9· Euclidean geometry· WAEC

    Find the size of each interior angle of a regular hexagon.

    Explanation and discussion
  10. Question 10· Euclidean geometry· WAEC

    Two angles of a triangle are 47° and 68°. Find the third angle.

    Explanation and discussion
  11. Question 11· Euclidean geometry· WAEC

    An arc of a circle subtends an angle of 110° at the centre. Find the angle it subtends at a point on the remaining part of the circumference.

    Explanation and discussion
  12. Question 12· Euclidean geometry· WAEC

    Angles x and 2x + 30° lie on a straight line. Find x.

    Explanation and discussion
  13. Question 13· Euclidean geometry· WAEC

    The interior angles of a polygon add up to 1,260°. The number of sides is

    Explanation and discussion
  14. Question 14· Euclidean geometry· WAEC

    Two angles of a triangle are 65° and 45°. Find the third angle.

    Explanation and discussion
  15. Question 15· Euclidean geometry· WAEC

    Find the sum of the interior angles of a pentagon.

    Explanation and discussion
  16. Question 16· Euclidean geometry· WAEC

    A transversal cuts two parallel lines. One of a pair of co-interior (allied) angles is 64°. Find the other.

    Explanation and discussion
  17. Question 17· Euclidean geometry· WAEC

    In a circle, angles subtended by the same arc at the circumference are

    Explanation and discussion
  18. Question 18· Euclidean geometry· WAEC

    An exterior angle of a regular polygon is 30°. The number of sides is

    Explanation and discussion
  19. Question 19· Euclidean geometry· WAEC

    When a transversal cuts two parallel lines, the alternate angles are

    Explanation and discussion
  20. Question 20· Euclidean geometry· WAEC

    Find each exterior angle of a regular hexagon.

    Explanation and discussion

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