Level 2
In the figure, AB is perpendicular to BC. ∠ABD = 52° and ∠CBE = 76°. Find ∠EBD.
2 m
Level 2
In the figure, PQRS is a square. ∠PSU = 50° and ∠TSR = 75°. Find ∠TSU
2 m
Level 2
The figure (not drawn to scale) is made up of 2 rectangles. Find ∠m.
2 m
Level 2
The figure is made up of 2 rectangles, ABCD and EFGC. Given that ∠DCG is 142°,
  1. find ∠x.
  2. find ∠y.
2 m
Level 2
Square ABCD is folded as shown in the diagram. Find ∠x.
2 m
Level 2
The figure shows a piece of square paper ABCD folded at two of its corners A and C. Given that ∠ADE = 12° and ∠CDF = 15°, find ∠ADC.
2 m
Level 2
Pauline has a piece of square paper. She folded it along the dotted line as shown. Find ∠g.
2 m
Level 2
A piece of rectangular paper ABCD was folded as shown. ∠FCB = 58°. Find ∠ECF.
2 m
Level 2
A rectangular piece of paper is folded at one of its corners as shown. Find ∠y.
2 m
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
Level 3
The figure shows a rectangle EFGH. ∠EHJ = 64° and ∠FHG = 34°. Find
  1. ∠FHJ
  2. ∠EFH
3 m
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
Level 3
In the figure, TUVW is a square and WXYZ is a rectangle. ∠TWU = 45° and ∠VWZ = 74°. Find ∠k.
3 m
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
Level 3
The figure shows a piece of rectangular paper ABCD folded at one of its corners D. ∠DFE = 67°. Find ∠CED.
3 m
Level 3
The figure shows a piece of rectangular paper ABCD folded at one of its corners D. ∠DEF = 16°. Find ∠DEC.
3 m
Level 3
The figure shows a piece of square paper ABCD folded at two of its corners B and D. Given that ∠CFD = 81° and ∠BEC = 78°, find ∠BCD.
3 m
Level 3
The figure shows a piece of rectangular paper ABCD folded at two of its corners C and D. ∠DFE is 6° larger than ∠CFG but it is half the size of ∠CFD. Find ∠CFD.
3 m
Level 3
The figure shows a piece of rectangular paper ABCD folded at one of its corners A. ∠AEB is 4 times as large as ∠AEF. Find ∠AEB.
3 m
Level 3
The figure shows a rectangle ABCD. ∠BAC = 42° and ∠DAE = 72°.
  1. Name a line perpendicular to AD. Name a line perpendicular to $(A)$(D). Give your answer in letter. (Eg AB)
  2. Find ∠CAE.
  3. Find ∠ACE.
4 m