411 P5.AN.JM.17083181
Level 3
Given that ABCD is a trapezium and ABD is an isosceles triangle, find the values of
  1. ∠x
  2. ∠y
4 m
Isosceles triangle Trapezium Angles sum of triangle Exterior angle of a triangle Alternate angles Interior angles
412 P6.AN.NK.17051747
Level 3
The figure is not drawn to scale. ADFJ is a parallelogram. CGI and BEH are triangles. ∠CGH = 79° and HBE = 53°. Find
  1. ∠BCG
  2. the sum of ∠BHE, ∠CYE and ∠EZG.
4 m
Triangle Parallelogram Vertically opposite angles Interior angles Sum of angles in a quadrilateral
413 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
414 P5.AN.JM.17083194
Level 3
A rectangular piece of paper is folded at two of its corners as shown in the figure. Find ∠y.
4 m
Rectangle Angles on a straight line Angles sum of triangle Overlapping angles Folded figure
415 P5.AN.JM.17083157
Level 3
A piece of colored paper in the original shape of a parallelogram was folded as shown. Find
  1. ∠x
  2. ∠y
4 m
Parallelogram Alternate angles Interior angles Overlapping angles Folded figure
416 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
417 P5.AN.NK.23012622
Level 3
A piece of paper is folded as shown. The ratio of ∠a to ∠b is 3 : 2.
  1. Find ∠a.
  2. Find ∠c.
4 m
Rectangle Triangle Right angle Angles on a straight line Angles sum of triangle Overlapping angles Folded figure Ratio to units
418 P5.AN.JM.17083249
Level 3
The figure shows three identical squares ABCD, CEFG and CJIH. ∠DCE = 40° and ∠GCH = 27°. Find ∠x.
4 m
Right angle Square Overlapping angles
419 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
420 P5.AN.JM.170831130
Level 3
Given that ABCD is a rhombus, calculate
  1. ∠ x
  2. ∠ y
4 m
Rhombus Vertically opposite angles Angles sum of triangle Sum of angles in a quadrilateral

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