51 P5.AN.JM.17083250
Level 2
ABCD and EFGC are different squares. Given that ∠EHC = 70°, find ∠ACE.
2 m
Right angle Square Angles sum of triangle Overlapping angles
52 P5.AN.JM.17083127
Level 2
In the figure, ∠BAE = 45° and ∠BED = 130°. Find ∠CBE.
2 m
Angles sum of triangle Sum of angles in a quadrilateral
53 P5.AN.JM.17083140
Level 2
Find the unknown angles.
  1. angle x
  2. angle y
2 m
Isosceles triangle Angles sum of triangle Sum of angles in a quadrilateral
54 P6.AN.NK.17052302
Level 3 PSLE
In the figure, WXZV is a square, XY = XW and XYZ is an equilateral triangle. Find ∠YWZ.
3 m
Square Equilateral triangle Isosceles triangle Right angle Angles sum of triangle
55 P6.AN.NK.17081611
Level 3 PSLE
In the diagram, LMNP is a square and YX = YW = YZ. XZ is parallel to LP and it is perpendicular to WY. If ∠XWK is 105°, find ∠KWZ.
3 m
Square Equilateral triangle Isosceles triangle Right angle Angles sum of triangle
56 P6.AN.NK.17052102
Level 3
The figure is not drawn to scale. Find the sum of ∠FAC + ∠FBD + ∠ACF + ∠DFC.
3 m
Angles sum of triangle
57 P6.AN.NK.17050214
Level 3
In the figure, not drawn to scale, A and B are the centres of both circles respectively. Find ∠x.
3 m
Circle Angles at a point Angles sum of triangle
58 P4.AN.JM.17092855
Level 3
The figure shows a rectangle EFGH. ∠GFH = 46° and ∠GHJ = 31°. Find
  1. ∠FHJ
  2. ∠GJH
3 m
Rectangle Angles sum of triangle
59 P6.AN.NK.17050206
Level 3
In the figure, not drawn to scale, PQR is an equilateral triangle and P is the centre of the circle. Find ∠PRS.
3 m
Equilateral triangle Isosceles triangle Angles sum of triangle Angle properties within a circle
60 P4.AN.JM.17092854
Level 3
The figure shows 2 squares ABCD and BECF. ∠GCF is twice as large as ∠GCB.
  1. Name the line that is parallel to AC.
  2. Find ∠FGC.
3 m
Square Angles sum of triangle Model Times-as-many Units method

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