31 P6.AN.NK.17051745
Level 3
The figure shows 3 identical isosceles triangles X, Y and Z, one more isosceles triangle, W, and a rhombus, C. What is the value of a?
3 m
Isosceles triangle Rhombus Angles at a point Interior angles
32 P6.AN.NK.17081702
Level 3 PSLE
In the figure, WXYZ is a parallelogram and YZRS is a rhombus. ∠XYS = 90° and ∠YSZ = 24°. Find ∠WXY.
3 m
Isosceles triangle Parallelogram Rhombus Angles sum of triangle Angles at a point Interior angles
33 P5.AN.JM.17083202
Level 2
In the figure, AB and CD are straight lines. ∠AOC is 54°. What is the sum of ∠a and ∠b?
3 m
Right angle Vertically opposite angles Angles at a point
34 P5.AN.JM.17083233
Level 3
In the figure, BA // FE and BC // DE. Find
  1. ∠x
  2. ∠y
3 m
Angles at a point Alternate angles
35 P5.AN.NK.23041250
Level 3
In the figure, ABCD is a rectangle and BDE is an isosceles triangle. Given that BD = BE, ∠BED = 55° and ∠ADE = 253°, find ∠ DBC.
3 m
Rectangle Isosceles triangle Angles at a point Alternatte angles
36 P6.AN.NK.17050204
Level 3
In the figure, not drawn to scale, O is the centre of the circle. HOC, FDC and ODE are straight lines. Find ∠EDF.
3 m
Isosceles triangle Vertically opposite angles Angles at a point Corresponding angles Angle properties within a circle
37 P5.AN.JM.17083260
Level 3
In the figure, O is the centre of the circle and OABC is a rhombus. Find the value of ∠a + ∠b + ∠c + ∠d.
3 m
Rhombus Angles sum of triangle Angles at a point Interior angles Angle properties within a circle
38 P6.AN.NK.21060916
Level 3 PSLE
In the figure, ABFG is a parallelogram and CDEF is a rhombus. GFE is a straight line. ∠BAG = 53°, ∠FBC = 27° and ∠DCE = 35°.
  1. Find ∠BFC.
  2. Find ∠BCD.
4 m
Isosceles triangle Parallelogram Rhombus Angles on a straight line Angles sum of triangle Angles at a point
39 P6.AN.NK.17050208
Level 3
In the figure, not drawn to scale, O is the centre of the circle. Given that the ratio of ∠OBC : ∠AOC is 3 : 11. Find ∠AOB.
4 m
Isosceles triangle Circle Angles at a point Ratio to units Units method
40 P6.AN.NK.21060922
Level 3 PSLE
In the figure, ABD and FED are straight lines and EB is parallel to DC. ∠EFA is a right angle, ∠FAB = 45°, ∠ABC = 105° and ∠DEB = 60°.
  1. Find ∠ABE.
  2. Find ∠BCD.
4 m
Right angle Angles on a straight line Angles sum of triangle Angles at a point

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