1 P5.AN.JM.170831105
Level 3
In the figure, JKL is parallel to XYZ and the line XL cuts ∠KXZ into half. Given that LX and KY are straight lines, ∠JKX = 45°, ∠XYN = 42.5° and ∠KNL = 115°, find
  1. ∠a
  2. ∠c
  3. ∠b
5 m
Vertically opposite angles Angles sum of triangle Interior angles
2 P5.AN.JM.17083235
Level 1
ABCD is a parallelogram and CDE is an isosceles triangle. Find ∠ADC.
1 m
Isosceles triangle Parallelogram Angles sum of triangle Interior angles
3 P6.AN.NK.21060918
Level 2 PSLE
In the figure, BCE is an equilateral triangle, ABCD is a trapezium with AD parallel to BC. ∠DAB = 66°. Find ∠ABE.
1 m
Equilateral triangle Trapezium Interior angles
4 P6.AN.NK.21060920
Level 2 PSLE
In the figure, ABE is an equilateral triangle and BCDE is a rhombus ∠DAB = 38°. Find ∠CBE.
1 m
Equilateral triangle Isosceles triangle Rhombus Angles sum of triangle Interior angles
5 P5.AN.JM.17083148
Level 1
In the figure, ABCD and CDEF are two identical parallelograms. Find
  1. ∠m
  2. ∠n
2 m
Parallelogram Corresponding angles Interior angles
6 P6.AN.NK.21060929
Level 2 PSLE
ABCD is a trapezium with AB parallel to DC and AB = BC = BD.
Find ∠CBD.
2 m
Isosceles triangle Trapezium Angles sum of triangle Interior angles
7 P6.AN.NK.21060917
Level 2 PSLE
In the figure, STUV and SVWX are rhombuses. Find ∠SXW.
2 m
Rhombus Angles at a point Interior angles
8 P6.AN.NK.17081803
Level 2 PSLE
In the figure, EFGH is a rhombus with ∠HGF = 106°. HEYX is a trapezium with HX parallel to EY and ∠XHE = 30°. Find ∠YEF.
2 m
Rhombus Trapezium Angles at a point Interior angles
9 P6.AN.JC.22050903
Level 2 PSLE
ABCD is a parallelogram. AXD and BYC are straight lines. ∠DXY = 106° and ∠AYB is a right angle. Find ∠AYX.
2 m
Parallelogram Right angle Angles on a straight line Interior angles
10 P6.AN.NK.17051757
Level 2
Study the figure carefully. Find ∠x.
2 m
Angles at a point Alternate angles Interior angles
11 P6.AN.NK.17051759
Level 2
In the figure, not drawn to scale, ABCD is a parallelogram. ∠CDE and ∠BAE are equal. Find ∠x.
2 m
Parallelogram Interior angles Equal stage
12 P6.AN.NK.17052107
Level 2
In the figure, AOB, COD, EOF and GOH are straight lines. Find ∠s + ∠k + ∠l + ∠m + ∠n + ∠p + ∠q + ∠r.
2 m
Angles sum of triangle Angles at a point Exterior angle of a triangle Interior angles
13 P6.AN.NK.17052206
Level 2
The figure shows a trapezium ABCD folded as shown. AB is parallel to DC. DA is parallel to FB. ∠ADF = 67°. Find ∠DAF.
2 m
Trapezium Interior angles Overlapping angles Folded figure
14 P5.AN.JM.17083242
Level 2
Given that AB // PQ, find the value of ∠BCP.
2 m
Alternate angles Interior angles
15 P5.AN.JM.17083142
Level 2
In the figure, EFGH is a parallelogram. Find ∠EGH.
2 m
Parallelogram Interior angles
16 P5.AN.JM.17083158
Level 2
JKLM is a parallelogram. Given that ∠KLM is 57of ∠JML, find ∠JML.
2 m
Parallelogram Interior angles Fraction to units Units method
17 P5.AN.JM.17083147
Level 2
The figure is not drawn to scale. WXYZ is a parallelogram. Find ∠XYV.
2 m
Parallelogram Angles sum of triangle Interior angles
18 P5.AN.JM.17083243
Level 2
Given the diagram, find
  1. ∠x
  2. ∠y
2 m
Angles on a straight line Alternate angles Interior angles
19 P5.AN.JM.17083180
Level 2
Given the figure, find
  1. ∠x
  2. ∠y
2 m
Angles sum of triangle Alternate angles Interior angles
20 P5.AN.JM.17083145
Level 2
In the figure. ABDE is a parallelogram and ∠CDE = 106°. Find ∠ABC.
2 m
Equilateral triangle Parallelogram Angles at a point Interior angles

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