51 P4.AN.JM.17092844
Level 3
The figure shows a piece of rectangular paper ABCD folded at one of its corners D. ∠DEF = 16°. Find ∠DEC.
3 m
Rectangle Angles on a straight line Overlapping angles Folded figure
52 P4.AN.JM.17092847
Level 3
The figure shows a piece of rectangular paper ABCD folded at two of its corners C and D. ∠DFE is 6° larger than ∠CFG but it is half the size of ∠CFD. Find ∠CFD.
3 m
Rectangle Angles on a straight line Overlapping angles Folded figure Model Comparison Units method
53 P6.AN.NK.17051750
Level 3
The figure is not drawn to scale. It shows a parallelogram TUVW and an isosceles triangle QTW next to it. ∠SWQ = 11°. SR and QP are straight lines. Find
  1. ∠z
  2. ∠x + ∠y
  3. ∠y
3 m
Isosceles triangle Parallelogram Angles on a straight line Angles sum of triangle Corresponding angles
54 P4.AN.JM.17092845
Level 3
The figure shows a piece of rectangular paper ABCD folded at one of its corners A. ∠AEB is 4 times as large as ∠AEF. Find ∠AEB.
3 m
Rectangle Angles on a straight line Overlapping angles Folded figure Model Times-as-many Units method
55 P6.AN.NK.17051737
Level 3
The figure is not drawn to scale. It has three parallel lines and two isosceles triangles. ∠x and ∠y are in the ratio of 3 : 5 respectively. Find ∠x + ∠y + ∠z.
3 m
Isosceles triangle Angles on a straight line Interior angles Ratio to units Units method
56 P6.AN.NK.17051719
Level 3
In the figure, ABCD is a trapezium. AZB is an isosceles triangle with AZ = BZ. AY and BX are straight lines. Find ∠DAZ.
3 m
Isosceles triangle Trapezium Angles on a straight line Interior angles
57 P5.AN.JM.17083193
Level 2
In the figure, QOT and SOR are straight lines. ∠QOR = 152° and ∠TOP = 147°. Find ∠POR.
3 m
Angles on a straight line
58 P5.AN.JM.17083218
Level 2
In the figure, EF, GH and CD are straight lines and ∠ECH = 148°. What is the value of ∠DCH?
3 m
Right angle Angles on a straight line
59 P5.AN.JM.17083192
Level 2
In the figure, VOW is a straight line and both ∠UOX and ∠ZOY are right angles. Given that ∠VOZ = 21° and ∠UOW = 67°, find ∠YOX.
3 m
Right angle Angles on a straight line Overlapping angles
60 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

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