1 P5.AN.JM.17083167
Level 3
In the figure, ABCD and BPQR are two rhombuses. If ∠PQR = 114° and ∠ADC = 96°, calculate
  1. ∠QPR
  2. ∠QCB
  3. ∠RSC
5 m
Isosceles triangle Rhombus Angles sum of triangle Exterior angle of a triangle Corresponding angles
2 P5.AN.JM.17083148
Level 1
In the figure, ABCD and CDEF are two identical parallelograms. Find
  1. ∠m
  2. ∠n
2 m
Parallelogram Corresponding angles Interior angles
3 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
4 P5.AN.JM.17083238
Level 2
The figure is made up of a rhombus ABCD and a trapezium BEFC. DCF is a straight line and ∠BDC = 41°. Find ∠p.
2 m
Rhombus Trapezium Isosceles triangle Angles sum of triangle Corresponding angles
5 P5.AN.JM.17083178
Level 2
In the figure, SYQT is a trapezium and SY is parallel to QT. ∠STU = 57° and ∠YSU = 40°. Find ∠TSU.
2 m
Trapezium Corresponding angles
6 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
7 P6.AN.NK.17051755
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
Equilateral triangle Rhombus Angles sum of triangle Corresponding angles
8 P6.AN.NK.17051750
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. ∠z
  2. ∠x + ∠y
  3. ∠y
3 m
Isosceles triangle Parallelogram Angles on a straight line Angles sum of triangle Corresponding angles
9 P6.AN.NK.17050202
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
Isosceles triangle Circle Rhombus Corresponding angles Interior angles
10 P6.AN.NK.17051752
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
Rectangle Corresponding angles Interior angles Overlapping angles

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