31 P6.AN.NK.17051724
Level 3
The figure is not drawn to scale. VWXY is a parallelogram. WZ and XZ are straight lines. UX = UW, ∠UWX = 57° and ∠UWV = 41°. Find the difference between ∠a and ∠b.
3 m
Isosceles triangle Parallelogram Angles sum of triangle Interior angles
32 P6.AN.NK.17051729
Level 3
In the figure, not drawn to scale, QSTU and PRUV are rhombuses. Given that ∠TSR = 116° and ∠QPV = 124°, find
  1. ∠PVR
  2. ∠RWQ.
3 m
Isosceles triangle Rhombus Angles sum of triangle Interior angles
33 P6.AN.NK.17081701
Level 3 PSLE
In the figure, EFGH is a trapezium. P is a point on EH such that PG = GH. ∠EFG = 62° and ∠FEP = 110°. Find LPGF.
3 m
Isosceles triangle Trapezium Angles sum of triangle Interior angles
34 P6.AN.NK.17051705
Level 3
The figure is not drawn to scale. ACDE is a trapezium and AC//ED. Given that AE = AB, ∠EAB = 76° and ∠ACD = 100°.
  1. Find ∠CDE.
  2. Find ∠ABE.
  3. Find ∠BED.
3 m
Isosceles triangle Trapezium Alternate angles Interior angles
35 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
36 P6.AN.NK.17050202
Level 3
In the figure, not drawn to scale, O is the centre of the semi circle and OABC is a rhombus. ∠OCD = 32°. Find
  1. ∠x
  2. ∠y.
3 m
Isosceles triangle Circle Rhombus Corresponding angles Interior angles
37 P6.AN.NK.17051720
Level 3
In the figure, not drawn to scale, shows a rhombus and a rectangle lined up between two poles. Find ∠z.
3 m
Rectangle Rhombus Angles on a straight line Angles sum of triangle Interior angles
38 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
39 P6.AN.NK.17051727
Level 3
In the figure, not drawn to scale, ACDE is a parallelogram and ABF is an isosceles triangle. EFCB is a straight line. ∠CDE = 100°, ∠ACF = 54° and ∠CAB = 12°. Find ∠EAF.
3 m
Isosceles triangle Parallelogram Angles on a straight line Exterior angle of a triangle Alternate angles Interior angles
40 P6.AN.NK.17051752
Level 3
In the figure, not drawn to scale, two rectangles, ABHI and GHJK overlap each other as shown. Given that AD // GF and CF // DE.
  1. Find ∠a.
  2. Find ∠b.
3 m
Rectangle Corresponding angles Interior angles Overlapping angles

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