41 P6.AN.NK.17052209
Level 3
A rectangular piece of paper is folded along the dotted line as shown. Find
  1. ∠a
  2. ∠b.
3 m
Rectangle Angles on a straight line Alternate angles Corresponding angles Interior angles Overlapping angles Folded figure
42 P6.AN.NK.17051733
Level 3
ABCD is a quadrilateral and OADC is a trapezium in which OA // DC and ∠BAD = 110°, ∠ADC = 124°, ∠BCD = 65° and DC = DA. Find
  1. ∠ABO
  2. ∠DAO
  3. ∠ACD.
3 m
Trapezium Interior angles Sum of angles in a quadrilateral
43 P6.AN.NK.17051722
Level 3
In the figure, not drawn to scale, JKL is an isosceles triangle, KLMN is a parallelogram and NKJ is a straight line. Find ∠NQP.
3 m
Isosceles triangle Parallelogram Angles on a straight line Interior angles Sum of angles in a quadrilateral
44 P6.AN.NK.17050207
Level 3
In the figure, O is the centre of the circle. Find the value of ∠a + ∠b + ∠c + ∠d.
3 m
Exterior angle of a triangle Interior angles Angle properties within a circle
45 P6.AN.NK.17050205
Level 3
In the figure, ABCD is a parallelogram and C is the centre of the circle. Find ∠BCE.
3 m
Isosceles triangle Parallelogram Angles sum of triangle Interior angles Angle properties within a circle
46 P5.AN.JM.17083254
Level 3
In the figure, AC is parallel to ED and AF is parallel to BG. AFE is a straight line, ∠AFG = 96°. ∠FAB = 99° and the sum of ∠BCD and ∠DEF is 150°. Find
  1. ∠FGB
  2. ∠EDC
3 m
Interior angles Sum of angles in a quadrilateral
47 P5.AN.JM.17083260
Level 3
In the figure, O is the centre of the circle and OABC is a rhombus. Find the value of ∠a + ∠b + ∠c + ∠d.
3 m
Rhombus Angles sum of triangle Angles at a point Interior angles Angle properties within a circle
48 P6.AN.NK.21060919
Level 2
In the figure, ABCD is a parallelogram and EA = EB.
  1. Find ∠y.
  2. Find ∠z.
4 m
Isosceles triangle Parallelogram Angles sum of triangle Angles at a point Interior angles
49 P6.AN.NK.17051734
Level 3
In the figure, ADGJ is a rectangle, GHJK is a rhombus and DEFG is a parallelogram. ∠GHJ = 76° and ∠FGH = 94°.
  1. Find ∠CGD.
  2. Find ∠GFE.
4 m
Rectangle Isosceles triangle Parallelogram Rhombus Angles at a point Interior angles
50 P6.AN.NK.17051723
Level 3
The figure is not drawn to scale. ABDE is a parallelogram. ∠EAO is 57° and ∠DBC is 28°. ABC is an isosceles triangle and AB = BC.
  1. Find ∠OCB.
  2. Find ∠AED.
4 m
Isosceles triangle Parallelogram Angles sum of triangle Alternate angles Interior angles

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