Level 1
ABEF is a parallelogram. Given that DE = EC, ∠AFD = 55° and FC is a straight line, find ∠AEB.
2 m
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
Level 2
Given the diagram, find
  1. ∠x
  2. ∠y
2 m
Level 2
In the figure, AYB is a straight line. Given that ∠AYZ = 104° and ∠XYB = 108°, find ∠XYZ.
2 m
Level 2
Given PS is parallel to QR, ∠USR = 140° and ∠PST is 125°, find ∠SRQ.
2 m
Level 3
Ben folded a rectangular piece of paper ABCD along its diagonal AC. Find ∠ACD.
2 m
Level 2
TUVW is a parallelogram. TWY is a straight line. Find ∠XUT.
2 m
Level 2
In the figure, QOT and SOR are straight lines. ∠QOR = 152° and ∠TOP = 147°. Find ∠POR.
3 m
Level 2
In the figure, EF, GH and CD are straight lines and ∠ECH = 148°. What is the value of ∠DCH?
3 m
Level 2
In the figure, VOW is a straight line and both ∠UOX and ∠ZOY are right angles. Given that ∠VOZ = 21° and ∠UOW = 67°, find ∠YOX.
3 m
Level 2
In the figure, XYZ is a straight line. Given that ∠s is thrice as big as ∠t, what is the value of ∠s?
3 m
Level 2
In the figure, MN, PQ and RO are straight lines. ∠POR = 39°. Given that ∠RON is half as big as ∠NOQ, find ∠MOQ.
3 m
Level 2
In the figure, ACD and BCEF are straight lines. ∠CDE = 77° and ∠DEF = 138°. Find ∠ACB.
3 m
Level 2
In the figure, HIK and MLlJ are straight lines. ∠HML = 47°, ∠MHL = 45°, ∠IJK = 36° and ∠IKJ = 113°. Find
  1. ∠HLI.
  2. ∠LHI.
3 m
Level 3
Given that ∠a = ∠b = 60°, ∠c = 110°, ∠d = 100° and ∠e = 20°, find ∠x.
3 m
Level 3
MNOP is a parallelogram and MPQ is an equilateral triangle. QPO is a straight line. Find ∠MON.
3 m
Level 3
In the figure, EFGH is a rhombus, FN, HM and KJ are straight lines. ∠FGJ =70° and ∠MGN = 68°. Find ∠EFG.
3 m
Level 3
A rectangular piece of paper is folded to form the diagram.
  1. Find ∠a.
  2. Find ∠b.
3 m
Level 3
ABCD is a rectangular piece of paper. Corners C and D are folded upwards as shown. ∠CFG = 23° and ∠DFE = 16 °
  1. Find ∠CGF
  2. Find ∠DFC
3 m
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