31 P5.AN.JM.17083190
Level 2
In the figure, XYZ is a straight line. Given that ∠s is thrice as big as ∠t, what is the value of ∠s?
3 m
Angles on a straight line Times as many Units method
32 P5.AN.JM.17083191
Level 2
In the figure, MN, PQ and RO are straight lines. ∠POR = 39°. Given that ∠RON is half as big as ∠NOQ, find ∠MOQ.
3 m
Angles on a straight line Vertically opposite angles Fraction to units Units method
33 P5.AN.JM.17083204
Level 2
In the figure, ACD and BCEF are straight lines. ∠CDE = 77° and ∠DEF = 138°. Find ∠ACB.
3 m
Angles on a straight line Vertically opposite angles Angles sum of triangle
34 P5.AN.JM.17083212
Level 2
In the figure, HIK and MLlJ are straight lines. ∠HML = 47°, ∠MHL = 45°, ∠IJK = 36° and ∠IKJ = 113°. Find
  1. ∠HLI.
  2. ∠LHI.
3 m
Angles on a straight line Vertically opposite angles Angles sum of triangle
35 P5.AN.JM.17083214
Level 3
Given that ∠a = ∠b = 60°, ∠c = 110°, ∠d = 100° and ∠e = 20°, find ∠x.
3 m
Angles on a straight line Vertically opposite angles Angles sum of triangle
36 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
37 P5.AN.JM.17083237
Level 3
In the figure, EFGH is a rhombus, FN, HM and KJ are straight lines. ∠FGJ =70° and ∠MGN = 68°. Find ∠EFG.
3 m
Angles on a straight line Corresponding angles
38 P5.AN.NK.23041252
Level 3
A rectangular piece of paper is folded to form the diagram.
  1. Find ∠a.
  2. Find ∠b.
3 m
Rectangle Triangle Right angle Angles on a straight line Overlapping angles Folded figure
39 P5.AN.NK.23041254
Level 3
ABCD is a rectangular piece of paper. Corners C and D are folded upwards as shown. ∠CFG = 23° and ∠DFE = 16 °
  1. Find ∠CGF
  2. Find ∠DFC
3 m
Rectangle Triangle Right angle Angles on a straight line Overlapping angles Folded figure
40 P5.AN.JM.17083252
Level 3
In the figure, EFG is an equilateral triangle, ABCD is a square and FBCG is a straight line. Find the sum of ∠a, ∠b, ∠c and ∠d.
4 m
Right angle Square Equilateral triangle Angles on a straight line Angles sum of triangle

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