261 P6.AN.NK.17051710
Level 3
In the figure that is not drawn to scale, ABC is a straight line and BDE is an isosceles triangle. Find ∠x.
3 m
Isosceles triangle Angles on a straight line Angles sum of triangle
262 P4.AN.JM.17092859
Level 3
In the figure, AE is perpendicular to BE and ∠CED = 102°. Given that ∠AED is three times as large as ∠BEC, find ∠AED.
3 m
Angles at a point Model Times-as-many Units method
263 P6.AN.NK.17051715
Level 3
In the figure, ABCD is a parallelogram and CEF is an isosceles triangle. BEDF is a straight line. ∠BAD = 100°, ∠CDE = 56° and ∠DCF = 14°. Find ∠BCE.
3 m
Isosceles triangle Parallelogram Angles on a straight line Angles sum of triangle
264 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
265 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
266 P4.AN.JM.17092862
Level 3
The figure shows a rectangle ABCD. ∠BAC = 35° and ∠DAE = 36°. Find
  1. ∠CAE
  2. ∠AEC
3 m
Right angle Rectangle Exterior angle of a triangle
267 P6.AN.NK.17081613
Level 2 PSLE
In the figure, PTR and STQ are straight lines. PQ = QR = RS. ∠PTS = 110° and ∠QPR = 30°. Find ∠PRS.
3 m
Isosceles triangle Angles on a straight line Vertically opposite angles Angles sum of triangle
268 P6.AN.NK.21060921
Level 3 PSLE
In the figure, RXYZ is a parallelogram. PZR and QZY are straight lines and PQ = QR. ∠PQZ = 28° and ∠XYZ = 52°.
  1. Find ∠YZR.
  2. Find ∠ZQR.
3 m
Isosceles triangle Parallelogram Vertically opposite angles Angles sum of triangle
269 P4.AN.JM.17092850
Level 3
The figure shows a square ABEF and a rectangle BCDE. ∠CFE = 38°.
  1. Find ∠BHF.
  2. Find ∠AGC.
3 m
Square Rectangle Vertically opposite angles Angles sum of triangle Exterior angle of a triangle
270 P6.AN.NK.21060931
Level 3 PSLE
EFG is an equilateral triangle and ABCD is a rhombus. DGH is a straight line. Find ∠z.
3 m
Angles on a straight line Vertically opposite angles Angles sum of triangle Equilateral triangle Rhombus Angles at a point
271 P6.AN.JC.23031302
Level 3 PSLE
ABCD and BDEF are rhombuses. CGD is a straight line.
  1. Find ∠DBG.
  2. Find ∠CDE.
3 m
Isosceles triangle Rhombus Angles sum of triangle Angles at a point
272 P4.AN.JM.17092856
Level 3
The figure shows a rectangle EFGH. ∠EHJ = 64° and ∠FHG = 34°. Find
  1. ∠FHJ
  2. ∠EFH
3 m
Rectangle Angles sum of triangles Overlapping angles
273 P6.AN.NK.21060913
Level 3 PSLE
The figure is made up of 3 squares. Find ∠a.
3 m
Square Angles on a straight line Angles sum of triangle Exterior angles of a triangle
274 P4.AN.JM.17092867
Level 3
The figure is made up of a square ABCD and a rectangle CEFG. ∠DCG is 75°. Find the sum of ∠BCG and ∠BAD.
3 m
Right angle Square Rectangle Overlapping angles
275 P4.AN.JM.17092868
Level 3
In the figure, TUVW is a square and WXYZ is a rectangle. ∠TWU = 45° and ∠VWZ = 74°. Find ∠k.
3 m
Right angle Square Rectangle Overlapping angles
276 P4.AN.NK.23041231
Level 3
The figure is made up of a square ABCD and a rectangle DEFG. ∠CDG = 69°. ∠x is twice of ∠y. Find ∠x.
3 m
Right angle Square Rectangle Overlapping angles Model Times-as-many Units method
277 P6.AN.NK.21060932
Level 3 PSLE
ABCD is a trapezium with AB parallel to DC. AFB and EFC are straight lines and AE = EB. ∠EBC = 94°.
  1. Find ∠AFD.
  2. Find ∠BFE.
3 m
Angles sum of triangle Trapezium Exterior angle of a triangle Alternate angles
278 P4.AN.JM.17092843
Level 3
The figure shows a piece of rectangular paper ABCD folded at one of its corners D. ∠DFE = 67°. Find ∠CED.
3 m
Rectangle Angles on a straight line Overlapping angles Folded figure
279 P6.AN.NK.17051717
Level 3
In the figure, ABE and DBC are right-angled triangles. EB is parallel to DC. Find
  1. ∠BCD
  2. ∠BED
3 m
Right-angled triangle Angles sum of triangle Angles at a point Alternate angles
280 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

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