111 P6.AN.NK.17051704
Level 3
The figure is not drawn to scale. ∠c and ∠a are in the ratio 1 : 3. ∠b and ∠d are in the ratio 3 : 2. If ∠a = 105°, find ∠d.
3 m
Sum of angles in a quadrilateral Ratio to units Units method
112 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
113 P6.AN.NK.17052106
Level 3
The figure, not drawn to scale, is made up of a triangle QRS, an equilateral triangle KLM and a trapezium NPRS. ∠SRP = 117°, ∠RPN = 63° and ∠PNS = 55°. Find the sum of ∠a, ∠b, and ∠c.
3 m
Equilateral triangle Trapezium Angles sum of triangle Sum of angles in a quadrilateral
114 P6.AN.NK.17052108
Level 3
The figure, not drawn to scale, is made up of an equilateral triangle KLM and a trapezium ABCD. Find the sum of ∠x, ∠y and ∠z
3 m
Equilateral triangle Trapezium Angles sum of triangle Sum of angles in a quadrilateral
115 P6.AN.NK.17052207
Level 3
A rectangular piece of paper was folded as shown. Find ∠EGI.
3 m
Rectangle Angles on a straight line Alternate angles Overlapping angles Sum of angles in a quadrilateral Folded figure
116 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
117 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
118 P6.AN.NK.17050203
Level 3
In the figure, not drawn to scale, WY, XZ and OX are straight lines. Given that O is the centre of the circle and ∠OWZ = 31°, find ∠OYZ.
3 m
Isosceles triangle Angles on a straight line Angles sum of a triangle Angle properties within a circle
119 P6.AN.NK.17050204
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
Isosceles triangle Vertically opposite angles Angles at a point Corresponding angles Angle properties within a circle
120 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

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