41 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
42 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
43 P5.AN.JM.17083156
Level 3
The figure shows a parallelogram. Find
  1. ∠a
  2. ∠b
  3. ∠c
4 m
Parallelogram Angles sum of triangle Exterior angle of a triangle Alternate angles
44 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
45 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
46 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
47 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
48 P5.AN.JM.17083155
Level 3
In the figure, given that KLMN is a parallelogram and QP is parallel to MN, find
  1. ∠KNM
  2. ∠MKN
  3. ∠KML
4 m
Parallelogram Angles sum of triangle Alternate angles Corresponding angles
49 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
50 P6.AN.NK.17081614
Level 3 PSLE
In the figure, WXYZ is a parallelogram. WRZ and RYS are straight lines. ∠SYZ = 150°, ∠WZY = 45° and ∠WYR = 20°.
  1. Find ∠XYS.
  2. Find ∠XWY.
4 m
Parallelogram Angles on a straight line Angles sum of triangle Angles at a point Interior angles
51 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
52 P5.AN.JM.17083144
Level 3
The figure shows a parallelogram STUV and a triangle VXY. UVX and ZVY are straight lines. Find ∠XYV.
4 m
Triangle Parallelogram Vertically opposite angles Angles sum of triangle Interior angles
53 P5.AN.JM.17083176
Level 3
The figure is not drawn to scale. MNOP is a square. JKLM is a parallelogram.
  1. Name the trapezium in the figure. Give your answer in letters in alphabetical order. (Eg ABCD)
  2. Find ∠JMP
4 m
Square Parallelogram Trapezium Right angle Angles sum of triangle Interior angles
54 P6.AN.NK.17052210
Level 3
ABCD is a parallelogram which was folded along the dotted lines to form rectangle AYCZ. The two shaded triangles are the flaps formed after the folding. Given that ∠AXC = 128°, find ∠DAB.
4 m
Right angle Rectangle Triangle Parallelogram Angles on a straight line Alternate angles Interior angles Overlapping angles Folded figure
55 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
56 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
57 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
58 P6.AN.NK.17051747
Level 3
The figure is not drawn to scale. ADFJ is a parallelogram. CGI and BEH are triangles. ∠CGH = 79° and HBE = 53°. Find
  1. ∠BCG
  2. the sum of ∠BHE, ∠CYE and ∠EZG.
4 m
Triangle Parallelogram Vertically opposite angles Interior angles Sum of angles in a quadrilateral
59 P5.AN.JM.17083157
Level 3
A piece of colored paper in the original shape of a parallelogram was folded as shown. Find
  1. ∠x
  2. ∠y
4 m
Parallelogram Alternate angles Interior angles Overlapping angles Folded figure
60 P5.AN.JM.17083256
Level 3
In the figure, ABCD is a parallelogram. O is the centre of the circle. Find
  1. ∠ADC
  2. ∠ABD
4 m
Parallelogram Angles sum of triangle Exterior angle of a triangle Interior angles Angle properties within a circle

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