61 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
62 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
63 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
64 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
65 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
66 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
67 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
68 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
69 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
70 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
71 P6.AN.NK.17051751
Level 3
In the figure, ∠LRV is a right-angled isosceles triangle. LV//NU , ∠TQP = 49°, ∠RTS = 40° and ∠PSQ = 57°. Find
  1. ∠LVR
  2. ∠QNU
  3. ∠SUT.
5 m
Isosceles triangle Vertically opposite angles Angles sum of triangle Corresponding angles
72 P6.AN.NK.17052304
Level 3
In the figure, not drawn to scale, ABCD is a square, CDE is an equilateral triangle, CEFG is a rhombus, and BC = EC. Find
  1. ∠EFG
  2. ∠AEB.
5 m
Square Equilateral triangle Isosceles triangle Rhombus Interior angles
73 P6.AN.NK.17050213
Level 3
In the figure, O Is the centre of the circle and AE is parallel to BC. DF = DE, ∠OAB = 56° and ∠FED = 48°. Find
  1. ∠CBG.
  2. ∠BCD.
5 m
Isosceles triangle Circle Vertically opposite angles Angles sum of a triangle Exterior angle of a triangle Alternate angles Interior angles
74 P6.AN.NK.17050209
Level 3
The figure, not drawn to scale, O is the centre of the circle and BG//CF//DE. Find
  1. ∠AOD
  2. ∠AFO
5 m
Isosceles triangle Circle Angles sum of a triangle Angles at a point Exterior angle of a triangle Interior angles
75 P6.AN.NK.17051743
Level 3
In the figure, RKLP is a trapezium and triangles RPN and NRM are isosceles triangles. QJ, QL and JL are straight lines. RP = RN = NM. Find
  1. ∠x
  2. ∠y.
5 m
Isosceles triangle Trapezium Angles on a straight line Angles sum of triangle Interior angles Units & parts Elimination
76 P6.AN.JC.22050904
Level 3 PSLE
Maria has a triangular piece of paper ABC with BA =BC, ∠ABC = 82° and ∠CDE = 69°. ADC and BEC are straight lines. She folded it along the line DE as shown.
  1. Find ∠x.
  2. Find ∠y
5 m
Isosceles triangle Angles on a straight line Angles sum of triangle Folded figure

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