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
Level 3
The figure shows a parallelogram STUV and a triangle VXY. UVX and ZVY are straight lines. Find ∠XYV.
4 m
Level 3
The figure is not drawn to scale. MNOP is a square. JKLM is a parallelogram.
  1. Name the trapezium in the figure. Give your answer in letters in alphabetical order. (Eg ABCD)
  2. Find ∠JMP
4 m
Level 3
In the figure, ABDE is a rhombus and BD = BC. Given that ∠EAB = 118°, find ∠EBC.
4 m
Level 3
In the figure, GACF and GABE are parallelograms. Given that ∠CAD = 13°, ∠GFE = 77° and GEF is an isosceles triangle where GE = GF. Find
  1. ∠ADC,
  2. ∠GAD.
4 m
Level 3
ABCD and RSTC are rhombuses. Find ∠RVB.
4 m
Level 3
Given that ABCD is a trapezium and ABD is an isosceles triangle, find the values of
  1. ∠x
  2. ∠y
4 m
Level 3
A rectangular piece of paper is folded at two of its corners as shown in the figure. Find ∠y.
4 m
Level 3
A piece of paper is folded as shown. The ratio of ∠a to ∠b is 3 : 2.
  1. Find ∠a.
  2. Find ∠c.
4 m
Level 3
Given that ABCD is a rhombus, calculate
  1. ∠ x
  2. ∠ y
4 m