51 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
52 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
53 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
54 P5.AN.JM.17083162
Level 3
In the figure, ABCD is a trapezium and ADEH is a rhombus. AD is parallel to BC and DE = DF. HDC and DGF are straight lines. ∠DAH = 38° and ∠GDH = 47°. Find
  1. ∠ADC
  2. ∠DFE
5 m
Isosceles triangle Rhombus Trapezium Angles on a straight line
55 P5.AN.JM.17083138
Level 3
In the figure, PRT and QRS are straight lines. RP = RQ and SR = ST. If ∠QPR = 55°, find
  1. ∠PRS
  2. ∠RST
5 m
Isosceles triangle Angles on a straight line Exterior angle of a triangle

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