JAMB and WAEC Mathematics questions: Euclidean geometry

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

1. Question 21· Euclidean geometry· WAEC

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

   • A60°
   • B50°
   • C40°
   • D30°

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2. Question 22· Euclidean geometry· WAEC

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

   • A7
   • B9
   • C8
   • D10

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3. Question 23· Euclidean geometry· JAMB

   Find the sum of the interior angles of a hexagon.

   • A1080°
   • B540°
   • C720°
   • D360°

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4. Question 24· Euclidean geometry· JAMB

   

   In the diagram, BC is produced to D. Find the angle marked x.

   • A120°
   • B60°
   • C110°
   • D130°

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5. Question 25· Euclidean geometry· JAMB

   The angles of a quadrilateral are x, 2x, 3x and 4x. Find the largest angle.

   • A36°
   • B108°
   • C144°
   • D120°

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6. Question 26· Euclidean geometry· WAEC

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

   • A70°
   • B80°
   • C60°
   • D110°

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7. Question 27· Euclidean geometry· WAEC

   Find the sum of the interior angles of a pentagon.

   • A360°
   • B720°
   • C540°
   • D900°

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8. Question 28· Euclidean geometry· WAEC

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

   • A26°
   • B64°
   • C116°
   • D126°

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9. Question 29· Euclidean geometry· JAMB

   Two tangents drawn to a circle from an external point are

   • Aperpendicular to each other
   • Bequal in length
   • Cparallel
   • Dunequal

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10. Question 30· Euclidean geometry· JAMB

    Two similar triangles have corresponding sides in the ratio 3 : 5. Find the ratio of their areas.

    • A27 : 125
    • B3 : 5
    • C9 : 25
    • D6 : 10

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11. Question 31· Euclidean geometry· WAEC

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

    • Aright angles
    • Bsupplementary
    • Ccomplementary
    • Dequal

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12. Question 32· Euclidean geometry· JAMB

    The angle in a semicircle is

    • A180°
    • B90°
    • C60°
    • D45°

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13. Question 33· Euclidean geometry· JAMB

    The interior angles of a polygon add up to 1080°. How many sides has it?

    • A6
    • B7
    • C9
    • D8

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14. Question 34· Euclidean geometry· WAEC

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

    • A10
    • B12
    • C6
    • D9

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15. Question 35· Euclidean geometry· JAMB

    

    In the diagram, ABCD is a cyclic quadrilateral. Find the angle marked y.

    • A75°
    • B105°
    • C150°
    • D95°

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16. Question 36· Euclidean geometry· JAMB

    The sum of the interior angles of a regular polygon is 1440°. Find each interior angle.

    • A144°
    • B150°
    • C135°
    • D160°

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17. Question 37· Euclidean geometry· WAEC

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

    • Acomplementary
    • Bsupplementary
    • Cequal
    • Dunequal

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18. Question 38· Euclidean geometry· WAEC

    Find each exterior angle of a regular hexagon.

    • A120°
    • B60°
    • C45°
    • D90°

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19. Question 39· Euclidean geometry· JAMB

    Angles subtended by the same arc and lying in the same segment of a circle are

    • Asupplementary
    • Bequal
    • Ccomplementary
    • Dright angles

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20. Question 40· Euclidean geometry· JAMB

    The angle between a tangent to a circle and the radius at the point of contact is

    • A90°
    • B45°
    • C180°
    • D60°

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    Explanation and discussion