321 P5.AN.JM.17083121
Level 3
In the figure, MNOP is a square and OPQ is an equilateral triangle. Find ∠a.
3 m
Right angle Equilateral triangle Isosceles triangle Angles sum of triangle Exterior angle of a triangle
322 P6.AN.NK.17051704
Level 3
The figure is not drawn to scale. ∠c and ∠a are in the ratio 1 : 3. ∠b and ∠d are in the ratio 3 : 2. If ∠a = 105°, find ∠d.
3 m
Sum of angles in a quadrilateral Ratio to units Units method
323 P5.AN.JM.17083231
Level 3
Find the missing ∠z.
3 m
Alternate angles
324 P6.AN.NK.17051733
Level 3
ABCD is a quadrilateral and OADC is a trapezium in which OA // DC and ∠BAD = 110°, ∠ADC = 124°, ∠BCD = 65° and DC = DA. Find
  1. ∠ABO
  2. ∠DAO
  3. ∠ACD.
3 m
Trapezium Interior angles Sum of angles in a quadrilateral
325 P6.AN.NK.17052106
Level 3
The figure, not drawn to scale, is made up of a triangle QRS, an equilateral triangle KLM and a trapezium NPRS. ∠SRP = 117°, ∠RPN = 63° and ∠PNS = 55°. Find the sum of ∠a, ∠b, and ∠c.
3 m
Equilateral triangle Trapezium Angles sum of triangle Sum of angles in a quadrilateral
326 P5.AN.JM.17083233
Level 3
In the figure, BA // FE and BC // DE. Find
  1. ∠x
  2. ∠y
3 m
Angles at a point Alternate angles
327 P5.AN.JM.17083234
Level 3
In the figure, ABC is parallel to DEF and DC cuts ∠BDE equally. Given that ∠ABD = 50° and ∠BGC = 105°, find
  1. ∠p
  2. ∠q
3 m
Exterior angle of a triangle Alternate angles
328 P6.AN.NK.17052108
Level 3
The figure, not drawn to scale, is made up of an equilateral triangle KLM and a trapezium ABCD. Find the sum of ∠x, ∠y and ∠z
3 m
Equilateral triangle Trapezium Angles sum of triangle Sum of angles in a quadrilateral
329 P5.AN.NK.23041250
Level 3
In the figure, ABCD is a rectangle and BDE is an isosceles triangle. Given that BD = BE, ∠BED = 55° and ∠ADE = 253°, find ∠ DBC.
3 m
Rectangle Isosceles triangle Angles at a point Alternatte angles
330 P6.AN.NK.17052207
Level 3
A rectangular piece of paper was folded as shown. Find ∠EGI.
3 m
Rectangle Angles on a straight line Alternate angles Overlapping angles Sum of angles in a quadrilateral Folded figure

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