31 P6.AN.NK.17051727
Level 3
In the figure, not drawn to scale, ACDE is a parallelogram and ABF is an isosceles triangle. EFCB is a straight line. ∠CDE = 100°, ∠ACF = 54° and ∠CAB = 12°. Find ∠EAF.
3 m
Isosceles triangle Parallelogram Angles on a straight line Exterior angle of a triangle Alternate angles Interior angles
32 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
33 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
34 P6.AN.NK.17051722
Level 3
In the figure, not drawn to scale, JKL is an isosceles triangle, KLMN is a parallelogram and NKJ is a straight line. Find ∠NQP.
3 m
Isosceles triangle Parallelogram Angles on a straight line Interior angles Sum of angles in a quadrilateral
35 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
36 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
37 P5.AN.JM.17083146
Level 3
In the figure, JKLM is a parallelogram. Find ∠b.
4 m
Parallelogram
38 P6.AN.NK.21060916
Level 3 PSLE
In the figure, ABFG is a parallelogram and CDEF is a rhombus. GFE is a straight line. ∠BAG = 53°, ∠FBC = 27° and ∠DCE = 35°.
  1. Find ∠BFC.
  2. Find ∠BCD.
4 m
Isosceles triangle Parallelogram Rhombus Angles on a straight line Angles sum of triangle Angles at a point
39 P6.AN.NK.21060912
Level 3 PSLE
In the figure, ABCD is a straight line, BDEF is a parallelogram and EC = EF. ∠FAB is a right angle, ∠AFB = 30° and ∠DEC = 20°.
  1. Find ∠x.
  2. Find ∠y.
4 m
Right angle Isosceles triangle Parallelogram Exterior angle of a triangle
40 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 ∠EAB.
4 m
Isosceles triangle Equilateral triangle Parallelogram Angles sum of triangle Angles at a point Alternate angles

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