101 P6.AN.JC.23031305
Level 3 PSLE
ABCD is a parallelogram, ACE is an equilateral triangle and DC = DE.
  1. Find ∠ACD.
  2. Find ∠CDA.
  3. Find &angEAB.
4 m
Isosceles triangle Equilateral triangle Parallelogram Angles sum of triangle Angles at a point Alternate angles
102 P5.AN.JM.17083135
Level 3
In the figure, ABC and CDE are isosceles triangles where AC = BC and CD = CE. Given that DF, EH and AJ are straight lines, find
  1. ∠GKJ
  2. ∠EFK
4 m
Isosceles triangle Angles on a straight line Vertically opposite angles Angles sum of triangle Exterior angle of a triangle
103 P6.AN.NK.17051746
Level 3
The figure is not drawn to scale. BDEF is a parallelogram, ABF and BCF are isosceles triangles. FE//UZ and ∠EYZ= 104°. AD is straight line.
  1. Find ∠AFB.
  2. Find ∠DCF.
4 m
Isosceles triangle Parallelogram Angles on a straight line Corresponding angles
104 P6.AN.NK.17051756
Level 3
In the figure, ABCD is a parallelogram. CF, FG and AB are straight lines. ADE is an isosceles triangle.
  1. Find ∠x.
  2. Find ∠y.
4 m
Isosceles triangle Parallelogram Angles on a straight line Angles sum of triangle Corresponding angles
105 P6.AN.NK.21060919
Level 2
In the figure, ABCD is a parallelogram and EA = EB.
  1. Find ∠y.
  2. Find ∠z.
4 m
Isosceles triangle Parallelogram Angles sum of triangle Angles at a point Interior angles
106 P6.AN.NK.17051734
Level 3
In the figure, ADGJ is a rectangle, GHJK is a rhombus and DEFG is a parallelogram. ∠GHJ = 76° and ∠FGH = 94°.
  1. Find ∠CGD.
  2. Find ∠GFE.
4 m
Rectangle Isosceles triangle Parallelogram Rhombus Angles at a point Interior angles
107 P5.AN.JM.17083239
Level 3
ABHI and CDGH are identical squares. Given that ∠DEF = 60° and FI is a straight line, find ∠HBC.
4 m
Right angle Square Isosceles triangle Angles on a straight line Corresponding angles
108 P6.AN.NK.17051723
Level 3
The figure is not drawn to scale. ABDE is a parallelogram. ∠EAO is 57° and ∠DBC is 28°. ABC is an isosceles triangle and AB = BC.
  1. Find ∠OCB.
  2. Find ∠AED.
4 m
Isosceles triangle Parallelogram Angles sum of triangle Alternate angles Interior angles
109 P5.AN.JM.17083154
Level 3
In the figure, RSU is a triangle with SU = SR, while QRST is a parallelogram and TSU is a straight line. Given ∠STQ = 92°, ∠PSU = 144° and ∠QPS = 51°, find
  1. ∠SRU
  2. ∠PSR
4 m
Isosceles triangle Parallelogram Angles at a point Corresponding angles
110 P6.AN.NK.17051758
Level 3
ABEF is a parallelogram. DF, DG, AF and BE are straight lines. AB = AG. Find ∠BGC.
4 m
Isosceles triangle Parallelogram Angles on a straight line Angles sum of triangle Interior angles
111 P6.AN.NK.17051716
Level 3
In the figure, ABCD is a parallelogram with length AD twice the length of AB. ADE is an equilateral triangle. F is a point on AE such that AF = FE. ∠BCD is 104°. Find ∠FBC .
4 m
Equilateral triangle Isosceles triangle Parallelogram Corresponding angles Interior angles Times as many
112 P6.AN.RA.17081802
Level 3 PSLE
In the figure, XYZ is a triangle. P, R and S are points on the triangle such that XP = XR and SZ = PZ. If ∠XPR = 104°and ∠SPZ = 123°, find ∠RYS.
4 m
Isosceles triangle Angles on a straight line Angles sum of triangle Overlapping angles
113 P5.AN.JM.17083165
Level 3
In the figure, ABDE is a rhombus and BD = BC. Given that ∠EAB = 118°, find ∠EBC.
4 m
Isosceles triangle Rhombus Angles on a straight line Angles sum of triangle
114 P5.AN.JM.17083152
Level 3
ADEH and ACFH are parallelograms and BGF is an isosceles triangle. Given that ∠BFC = 39°, ∠AHG = 63° and ∠DFE = 49°, find
  1. ∠CFD,
  2. ∠DCF.
4 m
Isosceles triangle Parallelogram Angles on a straight line Interior angles
115 P5.AN.JM.17083183
Level 3
ABCD is a parallelogram. ADE and BFE are straight lines. Find the values of
  1. ∠t
  2. ∠w
  3. ∠v
  4. ∠u
4 m
Isosceles triangle Parallelogram Alternate angles Interior angles
116 P5.AN.JM.17083151
Level 3
In the figure, GACF and GABE are parallelograms. Given that ∠CAD = 13°, ∠GFE = 77° and GEF is an isosceles triangle where GE = GF. Find
  1. ∠ADC,
  2. ∠GAD.
4 m
Parallelogram Angles sum of triangle Alternate angles Interior angles
117 P5.AN.JM.17083173
Level 3
ABCD and RSTC are rhombuses. Find ∠RVB.
4 m
Isosceles triangle Rhombus Angles sum of triangle Corresponding angles
118 P5.AN.JM.17083181
Level 3
Given that ABCD is a trapezium and ABD is an isosceles triangle, find the values of
  1. ∠x
  2. ∠y
4 m
Isosceles triangle Trapezium Angles sum of triangle Exterior angle of a triangle Alternate angles Interior angles
119 P6.AN.NK.17051738
Level 3
The figure is not drawn to scale. ∠BAC = 40°, BA = BC and AF//BE. Given that ∠z is 12 of ∠x and ∠z is 3 times of ∠y, find
  1. ∠z
  2. ∠w.
4 m
Isosceles triangle Angles on straight line Corresponding angles Sum of angles in a quadrilateral Fraction of a whole Fraction to units Times as many Units method
120 P6.AN.NK.17050210
Level 3
In the figure not drawn to scale, O is the centre of the circle and RSU and PST are straight lines. If ∠TSU = 54° and ∠RSO is twice of ∠OSP, find ∠Q.
4 m
Isosceles triangle Circle Angles at a point Sum of angles in a quadrilateral Angles properties within a circle Times as many Units method

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