21 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
22 P5.AN.JM.17083231
Level 3
Find the missing ∠z.
3 m
Alternate angles
23 P5.AN.JM.17083233
Level 3
In the figure, BA // FE and BC // DE. Find
  1. ∠x
  2. ∠y
3 m
Angles at a point Alternate angles
24 P5.AN.JM.17083234
Level 3
In the figure, ABC is parallel to DEF and DC cuts ∠BDE equally. Given that ∠ABD = 50° and ∠BGC = 105°, find
  1. ∠p
  2. ∠q
3 m
Exterior angle of a triangle Alternate angles
25 P6.AN.NK.17052207
Level 3
A rectangular piece of paper was folded as shown. Find ∠EGI.
3 m
Rectangle Angles on a straight line Alternate angles Overlapping angles Sum of angles in a quadrilateral Folded figure
26 P5.AN.JM.17083229
Level 3
MNOP is a parallelogram and MPQ is an equilateral triangle. QPO is a straight line. Find ∠MON.
3 m
Equilateral triangle Parallelogram Angles on a straight line Angles sum of triangle Alternate angles
27 P5.AN.JM.17083139
Level 3
In the figure, PR // SU and PT = QT. Find ∠QTR.
3 m
Isosceles triangle Angles sum of triangle Alternate angles
28 P5.AN.JM.17083153
Level 3
The figure shows a parallelogram. Find
  1. ∠x
  2. ∠y
  3. ∠z
3 m
Parallelogram Vertically opposite angles Angles sum of triangle Exterior angle of a triangle Alternate angles
29 P4.AN.JM.17092863
Level 3
The figure shows a square PQRS. SQUV is a rectangle. ∠SUV = 21°
  1. Name the line that is parallel with SQ.
  2. Find ∠RST.
  3. Find ∠QTS.
4 m
Square Rectangle Exterior angle of a triangle Alternate angles
30 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
31 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
32 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
33 P5.AN.JM.17083241
Level 3
Given the figure, find
  1. ∠y
  2. ∠x
4 m
Angles on a straight line Angles sum of triangle Alternate angles
34 P5.AN.JM.17083156
Level 3
The figure shows a parallelogram. Find
  1. ∠a
  2. ∠b
  3. ∠c
4 m
Parallelogram Angles sum of triangle Exterior angle of a triangle Alternate angles
35 P6.AN.NK.17051723
Level 3
The figure is not drawn to scale. ABDE is a parallelogram. ∠EAO is 57° and ∠DBC is 28°. ABC is an isosceles triangle and AB = BC.
  1. Find ∠OCB.
  2. Find ∠AED.
4 m
Isosceles triangle Parallelogram Angles sum of triangle Alternate angles Interior angles
36 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
37 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
38 P5.AN.JC.18011601
Level 3
Given the figure, find
  1. ∠z
  2. ∠y
  3. ∠x
4 m
Angles on a straight line Alternate angles Interior angles
39 P6.AN.NK.17052210
Level 3
ABCD is a parallelogram which was folded along the dotted lines to form rectangle AYCZ. The two shaded triangles are the flaps formed after the folding. Given that ∠AXC = 128°, find ∠DAB.
4 m
Right angle Rectangle Triangle Parallelogram Angles on a straight line Alternate angles Interior angles Overlapping angles Folded figure
40 P5.AN.JM.17083183
Level 3
ABCD is a parallelogram. ADE and BFE are straight lines. Find the values of
  1. ∠t
  2. ∠w
  3. ∠v
  4. ∠u
4 m
Isosceles triangle Parallelogram Alternate angles Interior angles

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