81 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
82 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
83 P5.AN.JM.17083115
Level 2
In the figure, ABCD is a rectangle. ∠ABE = 52° and ∠ECD = 28°. What is the value of ∠BEC?
3 m
Right angle Rectangle Angles sum of triangle
84 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
85 P5.AN.JM.17083143
Level 2
The figure shows a parallelogram ABCD. ∠ABD = 34° and ∠ADB = 26°. Find ∠BCD.
3 m
Parallelogram Angles sum of triangle
86 P5.AN.JM.17083204
Level 2
In the figure, ACD and BCEF are straight lines. ∠CDE = 77° and ∠DEF = 138°. Find ∠ACB.
3 m
Angles on a straight line Vertically opposite angles Angles sum of triangle
87 P5.AN.JM.17083212
Level 2
In the figure, HIK and MLlJ are straight lines. ∠HML = 47°, ∠MHL = 45°, ∠IJK = 36° and ∠IKJ = 113°. Find
  1. ∠HLI.
  2. ∠LHI.
3 m
Angles on a straight line Vertically opposite angles Angles sum of triangle
88 P6.AN.NK.17052208
Level 3
Two corners of a square are folded as shown in the figure. Find ∠ABC.
3 m
Square Angles sum of triangle Overlapping angles Folded figure
89 P5.AN.JM.17083214
Level 3
Given that ∠a = ∠b = 60°, ∠c = 110°, ∠d = 100° and ∠e = 20°, find ∠x.
3 m
Angles on a straight line Vertically opposite angles Angles sum of triangle
90 P6.AN.NK.17052203
Level 3
The figure shows a rectangle ABCD being folded along AT. Given that ∠TAC = 18° find
  1. ∠y
  2. ∠z
3 m
Rectangle Angles sum of triangle Overlapping angles Folded figure
91 P6.AN.NK.17052211
Level 3
In the figure not drawn to scale, a piece of paper that is of parallelogram shape is folded at two comers P and Q as shown. Find ∠a.
3 m
Parallelogram Angles on a straight line Angles sum of triangle Overlapping angles Folded figure
92 P5.AN.JM.17083121
Level 3
In the figure, MNOP is a square and OPQ is an equilateral triangle. Find ∠a.
3 m
Right angle Equilateral triangle Isosceles triangle Angles sum of triangle Exterior angle of a triangle
93 P6.AN.NK.17052106
Level 3
The figure, not drawn to scale, is made up of a triangle QRS, an equilateral triangle KLM and a trapezium NPRS. ∠SRP = 117°, ∠RPN = 63° and ∠PNS = 55°. Find the sum of ∠a, ∠b, and ∠c.
3 m
Equilateral triangle Trapezium Angles sum of triangle Sum of angles in a quadrilateral
94 P6.AN.NK.17052108
Level 3
The figure, not drawn to scale, is made up of an equilateral triangle KLM and a trapezium ABCD. Find the sum of ∠x, ∠y and ∠z
3 m
Equilateral triangle Trapezium Angles sum of triangle Sum of angles in a quadrilateral
95 P5.AN.JM.17083229
Level 3
MNOP is a parallelogram and MPQ is an equilateral triangle. QPO is a straight line. Find ∠MON.
3 m
Equilateral triangle Parallelogram Angles on a straight line Angles sum of triangle Alternate angles
96 P5.AN.JM.17083139
Level 3
In the figure, PR // SU and PT = QT. Find ∠QTR.
3 m
Isosceles triangle Angles sum of triangle Alternate angles
97 P5.AN.JM.17083153
Level 3
The figure shows a parallelogram. Find
  1. ∠x
  2. ∠y
  3. ∠z
3 m
Parallelogram Vertically opposite angles Angles sum of triangle Exterior angle of a triangle Alternate angles
98 P6.AN.NK.17050205
Level 3
In the figure, ABCD is a parallelogram and C is the centre of the circle. Find ∠BCE.
3 m
Isosceles triangle Parallelogram Angles sum of triangle Interior angles Angle properties within a circle
99 P6.AN.NK.21060910
Level 3 PSLE
The figure is formed by five straight lines AC, AD, BD, BE and CE.
  1. Find ∠y.
  2. Find ∠z.
3 m
Angles on a straight line Vertically opposite angles Angles sum of triangle Sum of angles in a star
100 P6.AN.NK.17052103
Level 3
In the figure, ABDE, CBJI, CDFG, EFHI and CBJI are straight lines. Find the value of ∠w + ∠x + ∠y + ∠z.
3 m
Angles sum of triangle Exterior angle of a triangle Sum of angles in a star

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