71 P6.AN.NK.17051738
Level 3
The figure is not drawn to scale. ∠BAC = 40°, BA = BC and AF//BE. Given that ∠z is 12 of ∠x and ∠z is 3 times of ∠y, find
  1. ∠z
  2. ∠w.
4 m
Isosceles triangle Angles on straight line Corresponding angles Sum of angles in a quadrilateral Fraction of a whole Fraction to units Times as many Units method
72 P6.AN.NK.17050210
Level 3
In the figure not drawn to scale, O is the centre of the circle and RSU and PST are straight lines. If ∠TSU = 54° and ∠RSO is twice of ∠OSP, find ∠Q.
4 m
Isosceles triangle Circle Angles at a point Sum of angles in a quadrilateral Angles properties within a circle Times as many Units method
73 P6.AN.NK.17051751
Level 3
In the figure, ∠LRV is a right-angled isosceles triangle. LV//NU , ∠TQP = 49°, ∠RTS = 40° and ∠PSQ = 57°. Find
  1. ∠LVR
  2. ∠QNU
  3. ∠SUT.
5 m
Isosceles triangle Vertically opposite angles Angles sum of triangle Corresponding angles
74 P6.AN.NK.17052304
Level 3
In the figure, not drawn to scale, ABCD is a square, CDE is an equilateral triangle, CEFG is a rhombus, and BC = EC. Find
  1. ∠EFG
  2. ∠AEB.
5 m
Square Equilateral triangle Isosceles triangle Rhombus Interior angles
75 P6.AN.NK.17050213
Level 3
In the figure, O Is the centre of the circle and AE is parallel to BC. DF = DE, ∠OAB = 56° and ∠FED = 48°. Find
  1. ∠CBG.
  2. ∠BCD.
5 m
Isosceles triangle Circle Vertically opposite angles Angles sum of a triangle Exterior angle of a triangle Alternate angles Interior angles

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