21 P6.AN.NK.17051730
Level 3
ABCD is a square. QPC and BPD are straight lines. BA = BQ and ∠PBQ = 13°. Find
  1. ∠BAQ
  2. ∠DCQ
.
3 m
Right angle Square Isosceles triangle
22 P6.AN.NK.17052302
Level 3 PSLE
In the figure, WXZV is a square, XY = XW and XYZ is an equilateral triangle. Find ∠YWZ.
3 m
Square Equilateral triangle Isosceles triangle Right angle Angles sum of triangle
23 P6.AN.NK.17081611
Level 3 PSLE
In the diagram, LMNP is a square and YX = YW = YZ. XZ is parallel to LP and it is perpendicular to WY. If ∠XWK is 105°, find ∠KWZ.
3 m
Square Equilateral triangle Isosceles triangle Right angle Angles sum of triangle
24 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
25 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
26 P6.AN.NK.17051749
Level 3
The figure is not drawn to scale. EFCH is a square. ABCD and CXYZ are similar rectangles which overlap to form ∠s. Given that ∠FCX = 37° and that ∠HCD = ∠BCH, find ∠s.
3 m
Right angle Square Rectangle Overlapping angles Similar figures
27 P6.AN.NK.17051754
Level 3
In the figure, not drawn to scale, PQRS is a square. RLN, SLQ and RMN are straight lines. Find the value of ∠PMN.
4 m
Right angle Square Vertically opposite angles Angles sum of triangle
28 P6.AN.NK.21060922
Level 3 PSLE
In the figure, ABD and FED are straight lines and EB is parallel to DC. ∠EFA is a right angle, ∠FAB = 45°, ∠ABC = 105° and ∠DEB = 60°.
  1. Find ∠ABE.
  2. Find ∠BCD.
4 m
Right angle Angles on a straight line Angles sum of triangle Angles at a point
29 P6.AN.NK.21060912
Level 3 PSLE
In the figure, ABCD is a straight line, BDEF is a parallelogram and EC = EF. ∠FAB is a right angle, ∠AFB = 30° and ∠DEC = 20°.
  1. Find ∠x.
  2. Find ∠y.
4 m
Right angle Isosceles triangle Parallelogram Exterior angle of a triangle
30 P6.AN.JC.17051708
Level 3
In the figure, not drawn to scale. ABCD is a square. CDE is an equilateral triangle and AC is a straight line. Find
  1. One-third of ∠AFE
  2. Twice of ∠ECF
4 m
Right angle Equilateral triangle Square Angles on a straight line Exterior angles of a triangle Fraction of a whole Times as many

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