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
Level 3
In the figure, not drawn to scale, HIJ is equilateral triangle, HIJK and LMNP are identical rhombuses. Given that HI is parallel to PN, ∠MRS = 12° find ∠KRS.
3 m
Level 3
In the figure, not drawn to scale, O is the centre of the circle. HOC, FDC and ODE are straight lines. Find ∠EDF.
3 m
Level 3
The figure is not drawn to scale. It shows a parallelogram TUVW and an isosceles triangle QTW next to it. ∠SWQ = 11°. SR and QP are straight lines. Find
  1. ∠w.
  2. ∠x + ∠y
  3. ∠y
3 m
Level 3
A rectangular piece of paper is folded along the dotted line as shown. Find
  1. ∠a
  2. ∠b.
3 m
Level 3
In the figure, not drawn to scale, O is the centre of the semi circle and OABC is a rhombus. ∠OCD = 32°. Find
  1. ∠x
  2. ∠y.
3 m
Level 3
In the figure, not drawn to scale, two rectangles, ABHI and GHJK overlap each other as shown. Given that AD//GF and CF//DE.
  1. Find ∠a.
  2. Find ∠b.
3 m
Level 3
In the figure, ABCD is a parallelogram with length AD twice the length of AB. ADE is an equilateral triangle. F is a point on AE such that AF = FE. ∠BCD is 104°. Find ∠FBC .
4 m
Level 3
In the figure, ABCD is a parallelogram. CF, FG and AB are straight lines. ADE is an isosceles triangle.
  1. Find ∠x.
  2. Find ∠y.
4 m
Level 3
The figure is not drawn to scale. Find
  1. ∠a
  2. ∠b
4 m