21 P5.AN.JM.17083209
Level 2
The figure is made up of straight lines. Given that ∠a is twice that of ∠b, find
  1. ∠a
  2. ∠b
  3. ∠c
2 m
Angles on a straight line Vertically opposite angles Times as many
22 P4.AN.JM.17092849
Level 2
In the figure, PQ is perpendicular to ST. ∠RTU = ∠PTS. Given that ∠STU is 3 times as large as angle RTS, find ∠RTQ.
2 m
Angles on a straight line Model Times-as-many Units method
23 P5.AN.JM.17083119
Level 2
∠f = 20°. What is the value of the sum of angles a, b, c, d and e?
2 m
Angles on a straight line Angles sum of triangle
24 P5.AN.JM.17083211
Level 2
In the figure, PQRS is a square. QTU is a straight line. ∠PTU = 120° and ∠RQU = 30°. Find ∠TPQ.
2 m
Right angle Square Angles on a straight line Angles sum of triangle
25 P6.AN.JC.22050903
Level 2 PSLE
ABCD is a parallelogram. AXD and BYC are straight lines. ∠DXY = 106° and ∠AYB is a right angle. Find ∠AYX.
2 m
Parallelogram Right angle Angles on a straight line Interior angles
26 P5.AN.JM.17083125
Level 2
In the figure, AB = AC and ABD is a straight line. Find ∠CBD.
2 m
Isosceles triangle Angles on a straight line Angles sum of triangle
27 P6.AN.NK.17052202
Level 2
A square piece of paper is folded as shown in the figure.
  1. Find ∠ADE.
  2. Find ∠EDC.
2 m
Square Angles on a straight line Angles sum of triangle Overlapping angles Folded figure
28 P6.AN.JC.17050719
Level 2
The figure shows a rectangular piece of paper folded at corner C. Find ∠BAC.
2 m
Folded figure Angles on a straight line Right angle Angles sum of triangle Overlapping angles
29 P6.AN.NK.17052201
Level 2
A rectangular strip of paper is folded at an angle of a° to the side, forming an angle of 40° as shown. What is the value of ∠a?
2 m
Rectangle Angles on a straight line Corresponding angles Overlapping angles Folded figure
30 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
31 P4.AN.JM.17092846
Level 2
The figure shows a piece of rectangular paper ABCD folded at two of its corners C and D. Given that ∠DFE = 21° and ∠CFG = 15°, find ∠CFD.
2 m
Rectangle Overlapping angles Angles on a straight line Folded figure
32 P6.AN.JC.23030117
Level 2 PSLE
A rectangular piece of paper is folded to form a trapezium ABCD. The two shaded triangles are identical. Find ∠x.
2 m
Right angle Rectangle Trapezium Angles on a straight line Angles sum of triangle Angles at a point Overlapping angles Folded figure
33 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
34 P5.AN.JM.17083137
Level 2
The figure shown is not drawn to scale. ABC is an isosceles triangle and XY is a straight line. Find ∠a.
2 m
Isosceles triangle Angles on a straight line Exterior angle of a triangle
35 P5.AN.JM.17083149
Level 1
ABEF is a parallelogram. Given that DE = EC, ∠AFD = 55° and FC is a straight line, find ∠AEB.
2 m
Parallelogram Angles on a straight line Corresponding angles
36 P5.AN.JM.17083175
Level 2
In the figure, JKLM is a trapezium, KMN is a straight line, KL = ML, ∠KLM = 106° and ∠JMN = 75°. Find ∠KJM.
2 m
Isosceles triangle Trapezium Angles on a straight line Angles sum of triangle Alternate angles
37 P5.AN.JM.17083243
Level 2
Given the diagram, find
  1. ∠x
  2. ∠y
2 m
Angles on a straight line Alternate angles Interior angles
38 P5.AN.NK.23041251
Level 2
In the figure, AYB is a straight line. Given that ∠AYZ = 104° and ∠XYB = 108°, find ∠XYZ.
2 m
Angles on a straight line Overlapping angles
39 P5.AN.JM.17083248
Level 2
Given PS is parallel to QR, ∠USR = 140° and ∠PST is 125°, find ∠SRQ.
2 m
Angles on a straight line Interior angles Overlapping angles
40 P5.AN.NK.23041253
Level 3
Ben folded a rectangular piece of paper ABCD along its diagonal AC. Find ∠ACD.
2 m
Rectangle Triangle Right angle Angles on a straight line Overlapping angles Folded figure

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