141 P6.AN.NK.17051734
Level 3
In the figure, ADGJ is a rectangle, GHJK is a rhombus and DEFG is a parallelogram. ∠GHJ = 76° and ∠FGH = 94°.
  1. Find ∠CGD.
  2. Find ∠GFE.
4 m
Rectangle Isosceles triangle Parallelogram Rhombus Angles at a point Interior angles
142 P6.AN.NK.17051723
Level 3
The figure is not drawn to scale. ABDE is a parallelogram. ∠EAO is 57° and ∠DBC is 28°. ABC is an isosceles triangle and AB = BC.
  1. Find ∠OCB.
  2. Find ∠AED.
4 m
Isosceles triangle Parallelogram Angles sum of triangle Alternate angles Interior angles
143 P6.AN.NK.17051758
Level 3
ABEF is a parallelogram. DF, DG, AF and BE are straight lines. AB = AG. Find ∠BGC.
4 m
Isosceles triangle Parallelogram Angles on a straight line Angles sum of triangle Interior angles
144 P6.AN.NK.17051732
Level 3
The figure is not drawn to scale. Find
  1. ∠a
  2. ∠b
4 m
Angles on a straight line Angles sum of triangle Alternate angles Corresponding angles Interior angles
145 P6.AN.NK.17081614
Level 3 PSLE
In the figure, WXYZ is a parallelogram. WRZ and RYS are straight lines. ∠SYZ = 150°, ∠WZY = 45° and ∠WYR = 20°.
  1. Find ∠XYS.
  2. Find ∠XWY.
4 m
Parallelogram Angles on a straight line Angles sum of triangle Angles at a point Interior angles
146 P6.AN.NK.17051716
Level 3
In the figure, ABCD is a parallelogram with length AD twice the length of AB. ADE is an equilateral triangle. F is a point on AE such that AF = FE. ∠BCD is 104°. Find ∠FBC .
4 m
Equilateral triangle Isosceles triangle Parallelogram Corresponding angles Interior angles Times as many
147 P6.AN.NK.17052213
Level 3
Ben has a white rectangular card which is grey on the other side. He folds the card along its diagonal ED. Find
(a) ∠a
(b) ∠b
(c) ∠c
4 m
Rectangle Angles on a straight line Angles sum of triangle Overlapping angles Folded figure
148 P6.AN.RA.17081802
Level 3 PSLE
In the figure, XYZ is a triangle. P, R and S are points on the triangle such that XP = XR and SZ = PZ. If ∠XPR = 104°and ∠SPZ = 123°, find ∠RYS.
4 m
Isosceles triangle Angles on a straight line Angles sum of triangle Overlapping angles
149 P6.AN.NK.17052210
Level 3
ABCD is a parallelogram which was folded along the dotted lines to form rectangle AYCZ. The two shaded triangles are the flaps formed after the folding. Given that ∠AXC = 128°, find ∠DAB.
4 m
Right angle Rectangle Triangle Parallelogram Angles on a straight line Alternate angles Interior angles Overlapping angles Folded figure
150 P6.AN.NK.17051742
Level 3
In the figure, not drawn to scale, ABC, CDE, BFE, and AFD are straight lines. What is the value of ∠x + ∠y?
4 m
Angles on a straight line Exterior angle of a triangle Sum of angles in a quadrilateral

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