41 P5.AN.JM.17083225
Level 3
In the figure, PQ = PS, ∠QPS = 34° and ∠TRS = 15°. Find
  1. ∠x
  2. ∠y
4 m
Isosceles triangle Angles on a straight line Angles sum of triangle Exterior angle of a triangle
42 P5.AN.JM.17083135
Level 3
In the figure, ABC and CDE are isosceles triangles where AC = BC and CD = CE. Given that DF, EH and AJ are straight lines, find
  1. ∠GKJ
  2. ∠EFK
4 m
Isosceles triangle Angles on a straight line Vertically opposite angles Angles sum of triangle Exterior angle of a triangle
43 P5.AN.JM.17083241
Level 3
Given the figure, find
  1. ∠y
  2. ∠x
4 m
Angles on a straight line Angles sum of triangle Alternate angles
44 P5.AN.JM.17083239
Level 3
ABHI and CDGH are identical squares. Given that ∠DEF = 60° and FI is a straight line, find ∠HBC.
4 m
Right angle Square Isosceles triangle Angles on a straight line Corresponding angles
45 P5.AN.JC.18011601
Level 3
Given the figure, find
  1. ∠z
  2. ∠y
  3. ∠x
4 m
Angles on a straight line Alternate angles Interior angles
46 P5.AN.JM.17083165
Level 3
In the figure, ABDE is a rhombus and BD = BC. Given that ∠EAB = 118°, find ∠EBC.
4 m
Isosceles triangle Rhombus Angles on a straight line Angles sum of triangle
47 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
48 P5.AN.JM.17083194
Level 3
A rectangular piece of paper is folded at two of its corners as shown in the figure. Find ∠y.
4 m
Rectangle Angles on a straight line Angles sum of triangle Overlapping angles Folded figure
49 P5.AN.NK.23012622
Level 3
A piece of paper is folded as shown. The ratio of ∠a to ∠b is 3 : 2.
  1. Find ∠a.
  2. Find ∠c.
4 m
Rectangle Triangle Right angle Angles on a straight line Angles sum of triangle Overlapping angles Folded figure Ratio to units
50 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
51 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
52 P5.AN.JM.17083168
Level 3
In the figure, given that FBDE is a rhombus and ACE is a triangle, find
  1. ∠x
  2. ∠y
5 m
Triangle Rhombus Angles on a straight line Angles sum of triangle Alternate angles
53 P5.AN.JM.17083138
Level 3
In the figure, PRT and QRS are straight lines. RP = RQ and SR = ST. If ∠QPR = 55°, find
  1. ∠PRS
  2. ∠RST
5 m
Isosceles triangle Angles on a straight line Exterior angle of a triangle
54 P5.AN.JM.17083227
Level 3
WXYZ is a rhombus, STZ and XTY are straight lines. If XT = TZ, ∠TZY = 18° and ∠VXY = 31°, find
  1. ∠TYZ
  2. ∠VST
5 m
Rhombus Angles on a straight line Exterior angle of a triangle
55 P5.AN.JM.17083150
Level 3
AFED and ABCE are two different parallelograms. Given that ∠DAE = 35° and ∠ABC = 75°, find
  1. ∠AED
  2. ∠FEC
5 m
Parallelogram Angles on a straight line Alternate angles

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