176 P6.AN.NK.17051718
Level 3
In the figure, ABCD is a parallelogram. AC = CE = CF. AF and CE are straight lines. ∠AEC = 73° and ∠AFC = 34°. Find ∠ABC.
3 m
Isosceles triangle Parallelogram Interior angles
177 P6.AN.NK.17051739
Level 3
The figure is not drawn to scale. KL//NM and ML//PK. Triangles KPL and LMN are isosceles triangles. Find
  1. ∠a
  2. ∠b.
3 m
Isosceles triangle Angles sum of triangle Interior angles
178 P6.PA.JC.21030801
TRY FOR FREE
Level 3
The figure is made up for triangles drawn up to Layer 3.
  1. How many triangles will there be if it is drawn up to Layer 7?
  2. If there is a total of 60 triangles, how many layers are there in the figure?
4 m
Attempt
Times sum of consecutive Triangle
179 P6.AN.NK.17051737
Level 3
The figure is not drawn to scale. It has three parallel lines and two isosceles triangles. ∠x and ∠y are in the ratio of 3 : 5 respectively. Find ∠x + ∠y + ∠z.
3 m
Isosceles triangle Angles on a straight line Interior angles Ratio to units Units method
180 P6.AN.NK.17051719
Level 3
In the figure, ABCD is a trapezium. AZB is an isosceles triangle with AZ = BZ. AY and BX are straight lines. Find ∠DAZ.
3 m
Isosceles triangle Trapezium Angles on a straight line Interior angles

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