121 P5.AN.JM.17083198
Level 3
In the figure, ABCD is a quadrilateral where ∠ABC = 130° and ∠BCD = 120°. ∠CDE = 78° and BC = CD. The point E on AD is such that BE is parallel to CD. Calculate
  1. ∠BDE
  2. ∠BAE
4 m
Isosceles triangle Sum of angles in a quadrilateral
122 P5.AN.JM.17083172
Level 3
ABCD is a rhombus. Find ∠z.
4 m
Isosceles triangle Rhombus Angles on a straight line Vertically opposite angles Interior angles Sum of angles in a quadrilateral
123 P5.AN.JM.17083261
Level 3
In the figure, O is the centre of a semicircle and OABC is a rhombus. Given that ∠OCD = 28°, find
  1. ∠x
  2. ∠y
4 m
Isosceles triangle Rhombus Angles sum of triangle Corresponding angles Interior angles Angle properties of a circle
124 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
125 P5.AN.JM.17083162
Level 3
In the figure, ABCD is a trapezium and ADEH is a rhombus. AD is parallel to BC and DE = DF. HDC and DGF are straight lines. ∠DAH = 38° and ∠GDH = 47°. Find
  1. ∠ADC
  2. ∠DFE
5 m
Isosceles triangle Rhombus Trapezium Angles on a straight line
126 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
127 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
128 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
129 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
130 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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