11 P6.AN.NK.17052209
Level 3
A rectangular piece of paper is folded along the dotted line as shown. Find
  1. ∠a
  2. ∠b.
3 m
Rectangle Angles on a straight line Alternate angles Corresponding angles Interior angles Overlapping angles Folded figure
12 P6.AN.NK.17050204
Level 3
In the figure, not drawn to scale, O is the centre of the circle. HOC, FDC and ODE are straight lines. Find ∠EDF.
3 m
Isosceles triangle Vertically opposite angles Angles at a point Corresponding angles Angle properties within a circle
13 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
14 P6.AN.NK.17051746
Level 3
The figure is not drawn to scale. BDEF is a parallelogram, ABF and BCF are isosceles triangles. FE//UZ and ∠EYZ= 104°. AD is straight line.
  1. Find ∠AFB.
  2. Find ∠DCF.
4 m
Isosceles triangle Parallelogram Angles on a straight line Corresponding angles
15 P6.AN.NK.17051756
Level 3
In the figure, ABCD is a parallelogram. CF, FG and AB are straight lines. ADE is an isosceles triangle.
  1. Find ∠x.
  2. Find ∠y.
4 m
Isosceles triangle Parallelogram Angles on a straight line Angles sum of triangle Corresponding angles
16 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
17 P5.AN.JM.17083154
Level 3
In the figure, RSU is a triangle with SU = SR, while QRST is a parallelogram and TSU is a straight line. Given ∠STQ = 92°, ∠PSU = 144° and ∠QPS = 51°, find
  1. ∠SRU
  2. ∠PSR
4 m
Isosceles triangle Parallelogram Angles at a point Corresponding angles
18 P5.AN.JM.17083155
Level 3
In the figure, given that KLMN is a parallelogram and QP is parallel to MN, find
  1. ∠KNM
  2. ∠MKN
  3. ∠KML
4 m
Parallelogram Angles sum of triangle Alternate angles Corresponding angles
19 P6.AN.NK.17051732
Level 3
The figure is not drawn to scale. Find
  1. ∠a
  2. ∠b
4 m
Angles on a straight line Angles sum of triangle Alternate angles Corresponding angles Interior angles
20 P5.AN.JM.17083245
Level 3
VXY is an equilateral triangle, PQRS is a rectangle and TUYX is a trapezium. VXT and VYU are straight lines. If ∠f = 80°, find
  1. ∠XTU
  2. Sum of ∠g, ∠h, ∠i and ∠j.
4 m
Right angle Rectangle Equilateral triangle Trapezium Corresponding angles

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