121 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
122 P5.AN.JM.17083198
Level 3
In the figure, ABCD is a quadrilateral where ∠ABC = 130° and ∠BCD = 120°. ∠CDE = 78° and BC = CD. The point E on AD is such that BE is parallel to CD. Calculate
  1. ∠BDE
  2. ∠BAE
4 m
Isosceles triangle Sum of angles in a quadrilateral
123 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
124 P5.AN.JM.17083172
Level 3
ABCD is a rhombus. Find ∠z.
4 m
Isosceles triangle Rhombus Angles on a straight line Vertically opposite angles Interior angles Sum of angles in a quadrilateral
125 P5.AN.JM.17083261
Level 3
In the figure, O is the centre of a semicircle and OABC is a rhombus. Given that ∠OCD = 28°, find
  1. ∠x
  2. ∠y
4 m
Isosceles triangle Rhombus Angles sum of triangle Corresponding angles Interior angles Angle properties of a circle

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