WAEC (WASSCE) Mathematics · Plane Geometry

Triangles and Polygons: WAEC Mathematics Past Questions and Answers

What the WAEC syllabus covers in Triangles and Polygons

Our summary: The angle and side rules for triangles, special quadrilaterals and other polygons.

  • The sum of the angles of a triangle is 2 right angles
  • The exterior angle of a triangle equals the sum of the two interior opposite angles
  • Congruent triangles
  • Properties of special triangles: isosceles, equilateral, right-angled, etc.
  • Properties of special quadrilaterals: parallelogram, rhombus, square, rectangle, trapezium
  • Properties of similar triangles
  • The sum of the angles of a polygon
  • Property of exterior angles of a polygon
  • Parallelograms on the same base and between the same parallels are equal in area

Syllabus content © The West African Examinations Council (WASSCE (harmonised West African syllabus)).

WAEC (WASSCE) Mathematics questions on Triangles and Polygons

  1. WAEC 2024The interior angle of a regular polygon is 168º. Find the number of sides of the polygon.
  2. WAEC 2024Four of the angles of a hexagon sum up to 420º. If the remaining angles are equal, find the value of each of the angles.
  3. WAEC 2023An equilateral triangle has a side 2 cm. Calculate the height of the triangle.
  4. WAEC 2023Write the name of a triangle with the vertices (1, -3), (6, 2) and (0,4)?
  5. WAEC 2023The interior angle of a regular polygon is 6 times its exterior angle find the number of sides of the polygon.
  6. WAEC 2023The diagonals of a rhombus are 16 cm and 12 cm find the length of the side.
  7. WAEC 2022An exterior angle of a regular polygon is 22.5°. Find the number of sides.
  8. WAEC 2021The height of an equilateral triangle of side is 10 3√ cm. calculate its perimeter.
  9. WAEC 2021Which of the following is not an exterior angle of a regular polygon?
  10. WAEC 2020Which of the following is not a sufficient condition for two triangles to be congruent?
  11. WAEC 2020Each interior angle of a regular polygon is 168 ^o . Find the number of sides of the polygon
  12. WAEC 2020Find the sum of the interior angle of a pentagon.
  13. WAEC 2019The interior angles of a polygon are 3x ^o , 2x ^o , 4x ^o , 3x ^o and 6x ^o . Find the size of the smallest angle of the polygon.
  14. WAEC 2018The diagonals of a rhombus WXYZ intersect at M. If MW = 5cm and MX = 12cm, calculate its perimeter
  15. WAEC 2018The angles of a polygon are x, 2x, 2x, (x + 30^o ), (x + 20^o ) and (x - 10^o ). Find the value of x
  16. WAEC 2017Which of the following is true about parallelogram?
  17. WAEC 2017Three exterior angles of a polygon are 30 ^o , 40 ^o and 60 ^o . If the remaining exterior angles are 46 ^o each, name the polygon.
  18. WAEC 2016Kweku walked 8m up to slope and was 3m above the ground. If he walks 12m further up the slope, how far above the ground will he be?
  19. WAEC 2016The ratio of the exterior angle to the interior angle of a regular polygon is 1:11. How many sides has the polygon?
  20. WAEC 2015Two angles of a pentagon are in the ratio 2:3. The others are 60o each. Calculate the smaller of the two angles
  21. WAEC 2014Each exterior angle of a polygon is 30o. Calculate the sum of the interior angles
  22. WAEC 2013An interior angle of a regular polygon is 5 times each exterior angle. How many sides has the polygon?
  23. WAEC 2012The sum of the interior angles of regular polygon is 1800o. How many sides has the polygon?
  24. WAEC 2012In XYZ, /XY/ = 8cm, /YZ/ = 10cm and /XZ/ = 6cm. Which of these relation is true?
  25. WAEC 2011A regular polygon of n sides has each exterior angle to 45o. Find the value of n
  26. WAEC 2010The sum of the exterior of an n-sided convex polygon is half the sum of its interior angle. find n

Years with Triangles and Polygons questions in DeeepSolve's question bank

From the past questions DeeepSolve holds, not a count of everything the exam body has set.

  • 2024
  • 2023
  • 2022
  • 2021
  • 2020
  • 2019
  • 2018
  • 2017
  • 2016
  • 2015
  • 2014
  • 2013
  • 2012
  • 2011
  • 2010