1 P6.AN.NK.17052205
Level 2
An equilateral triangle, XYZ, is folded as shown in the figure. Find
  1. ∠BAZ
  2. ∠YBZ.
2 m
Equilateral triangle Angles on a straight line Angles sum of triangle Overlapping angles Folded figure
2 P6.AN.NK.17051714
Level 2
In the figure, ABC and XYZ are equilateral triangles, and ∠BGX = 84°. Find ∠CHZ.
2 m
Equilateral triangle Angles on a straight line Sum of angles in a quadrilateral
3 P6.AN.NK.17052307
Level 3
In the figure, ABDC is a square and QM = QP = QN. Given that RP = PS, RPN = 50° and MN is parallel to AB and it is perpendicular to PQ. Find ∠RPS.
3 m
Square Equilateral triangle Isosceles triangle
4 P6.AN.NK.17050206
Level 3
In the figure, not drawn to scale, PQR is an equilateral triangle and P is the centre of the circle. Find ∠PRS.
3 m
Equilateral triangle Isosceles triangle Circle Angles sum of triangle
5 P6.AN.RA.17081609
Level 1
In the figure, EFG is an equilateral triangle and ∠FGH = 70°. Find ∠a.
2 m
Equilateral triangle Angles at a point
6 P6.AN.NK.17081801
Level 3 PSLE
In the figure, QRST is a square and QPT is an equilateral triangle. Given that USV is 12°, find ∠QSU.
3 m
Right angle Square Equilateral triangle Isosceles triangle Angles sum of triangle
7 P6.AN.NK.17052303
Level 3
In the figure, not drawn to scale, JKLM is a square. PKL is an equilateral triangle. What is ∠PQN?
3 m
Right angle Square Equilateral triangle Vertically opposite angles Angles sum of triangle
8 P6.AN.NK.17051755
Level 3
In the figure, not drawn to scale, HIJ is equilateral triangle, HIJK and LMNP are identical rhombuses. Given that HI is parallel to PN, ∠MRS = 12° find ∠KRS.
3 m
Equilateral triangle Rhombus Angles sum of triangle Corresponding angles
9 P6.AN.NK.17052108
Level 3
The figure, not drawn to scale, is made up of an equilateral triangle KLM and a trapezium ABCD. Find the sum of ∠x, ∠y and ∠z
3 m
Equilateral triangle Trapezium Angles sum of triangle Sum of angles in a quadrilateral
10 P6.AN.NK.17051721
Level 3
The figure is not drawn to scale. UVY is an equilateral triangle and XVW is an isosceles triangle. WVU and VXZ are straight lines and WU//ZY. ∠YVZ = 90° and ∠XYV = 56°.
  1. Find ∠WVZ.
  2. Find ∠VXW.
  3. Find ∠YXZ.
4 m
Equilateral triangle Isosceles triangle Angles on a straight line

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