361 P6.AN.NK.17051701
Level 3
The figure is not drawn to scale. Triangle ABZ is an isosceles triangle. Triangle XYZ is an equilateral triangle. ∠BZA is 15 of ∠YXZ and ∠YZB = ∠XZA.
  1. Find ∠YZB.
  2. Find ∠XAZ.
4 m
Equilateral triangle Isosceles triangle Angles sum of triangle Fraction of a whole
362 P6.AN.NK.17081805
Level 3 PSLE
In the diagram, XLP and YMN are equilateral triangles. WXYZ is a straight line. ∠ZYN = 62° and ∠WXL = 92°. Find ∠a.
4 m
Equilateral triangle Angles on a straight line Vertically opposite angles Angles sum of triangle
363 P5.AN.JM.17083171
Level 3
ABCD is a rhombus. ADE is an equilateral triangle. Find
  1. ∠EAB
  2. ∠ABD
4 m
Equilateral triangle Isosceles triangle Rhombus
364 P6.AN.NK.17051731
Level 3
The figure, not drawn to scale, is made up of an isosceles triangle and a rhombus. ∠c = ∠b, ∠a is twice ∠d, ∠b is twice ∠e and ∠c is less than ∠e by 51°.
  1. Find ∠c.
  2. Find the difference between ∠a and ∠c.
4 m
Isosceles triangle Rhombus Angles sum of triangle More than or less than Times as many Units
365 P6.AN.NK.21060916
Level 3 PSLE
In the figure, ABFG is a parallelogram and CDEF is a rhombus. GFE is a straight line. ∠BAG = 53°, ∠FBC = 27° and ∠DCE = 35°.
  1. Find ∠BFC.
  2. Find ∠BCD.
4 m
Isosceles triangle Parallelogram Rhombus Angles on a straight line Angles sum of triangle Angles at a point
366 P6.AN.NK.17050208
Level 3
In the figure, not drawn to scale, O is the centre of the circle. Given that the ratio of ∠OBC : ∠AOC is 3 : 11. Find ∠AOB.
4 m
Isosceles triangle Circle Angles at a point Ratio to units Units method
367 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
368 P5.AN.JM.17083118
Level 3
In the diagram shown, ABC is a right-angled triangle and AB = BC = AD. Find
  1. ∠DAC
  2. ∠ADB
4 m
Isosceles triangle Right-angled triangle Angles sum of triangle
369 P5.AN.JM.17083252
Level 3
In the figure, EFG is an equilateral triangle, ABCD is a square and FBCG is a straight line. Find the sum of ∠a, ∠b, ∠c and ∠d.
4 m
Right angle Square Equilateral triangle Angles on a straight line Angles sum of triangle
370 P6.AN.NK.21060926
Level 3 PSLE
ABCD is a rhombus. DFB and DECG are straight lines.
  1. Find ∠ABD.
  2. Find ∠DCG.
  3. Find ∠DFE.
4 m
Isosceles triangle Rhombus Angles on a straight line Angles sum of triangle Exterior angle of a triangle
371 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
372 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
373 P5.AN.JM.17083161
Level 3
In the figure, ABCD is a rhombus and ACE is a straight line. Find ∠BEC.
4 m
Isosceles triangle Rhombus Exterior angle of a triangle
374 P5.AN.JM.17083222
Level 3
In the figure, not drawn to scale, ABC, BFG, BDE, ADF are straight lines. Given that ∠CBF is twice the size of ∠FBD. Find ∠BAF.
4 m
Vertically opposite angles Exterior angle of a triangle Times as many
375 P6.AN.NK.17050211
Level 3
In the figure, not drawn to scale, O is the centre of the smaller circle. AB is a straight line. Find ∠AED.
4 m
Isosceles triangle Circle Angles on a straight line Alternate angles
376 P6.AN.NK.21060925
Level 3 PSLE
In the figure, ABCD is a rectangle. The points F, G, and H lie on the rectangle ABCD. CEF and HEG are straight lines.
  1. Find ∠FGH.
  2. Find ∠ECH.
4 m
Rectangle Triangle Vertically opposite angles Angles sum of triangle Alternate angles
377 P5.AN.JM.17083225
Level 3
In the figure, PQ = PS, ∠QPS = 34° and ∠TRS = 15°. Find
  1. ∠x
  2. ∠y
4 m
Isosceles triangle Angles on a straight line Angles sum of triangle Exterior angle of a triangle
378 P6.AN.JC.23031305
Level 3 PSLE
ABCD is a parallelogram, ACE is an equilateral triangle and DC = DE.
  1. Find ∠ACD.
  2. Find ∠CDA.
  3. Find &angEAB.
4 m
Isosceles triangle Equilateral triangle Parallelogram Angles sum of triangle Angles at a point Alternate angles
379 P5.AN.JM.17083134
Level 3
ABCE is a rectangle. Given that FBD is an isosceles triangle, find ∠DBC.
4 m
Right angle Rectangle Isosceles triangle Angles sum of triangle Exterior angle of a triangle
380 P5.AN.JM.17083135
Level 3
In the figure, ABC and CDE are isosceles triangles where AC = BC and CD = CE. Given that DF, EH and AJ are straight lines, find
  1. ∠GKJ
  2. ∠EFK
4 m
Isosceles triangle Angles on a straight line Vertically opposite angles Angles sum of triangle Exterior angle of a triangle

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