1 P5.AN.JM.17083223
Level 1
The figure is made up of straight lines. Find the unknown ∠y.
1 m
Triangle Exterior angle of a triangle
2 P5.AN.JM.17083167
Level 3
In the figure, ABCD and BPQR are two rhombuses. If ∠PQR = 114° and ∠ADC = 96°, calculate
  1. ∠QPR
  2. ∠QCB
  3. ∠RSC
5 m
Isosceles triangle Rhombus Angles sum of triangle Exterior angle of a triangle Corresponding angles
3 P5.AN.JM.17083224
Level 2
The following figure is made up of straight lines. Find
  1. ∠z
  2. ∠y
2 m
Exterior angle of a triangle
4 P5.AN.JM.17083221
Level 2
In the figure, what is the value of ∠t?
2 m
Right angle Exterior angle of a triangle
5 P5.AN.JM.17083137
Level 2
The figure shown is not drawn to scale. ABC is an isosceles triangle and XY is a straight line. Find ∠a.
2 m
Isosceles triangle Angles on a straight line Exterior angle of a triangle
6 P5.AN.JM.17083184
Level 2
Given that ABCD is a trapezium. ABEG is a rhombus and GC is a straight line, find the values of
  1. ∠AFE
  2. ∠CBE
2 m
Rhombus Trapezium Exterior angle of a triangle Interior angles
7 P5.AN.JM.17083264
Level 3
AB = BE and AB = BC. Given that ∠DAB is 28° and ∠ADE is 92°, find ∠EAD.
3 m
Isosceles triangle Exterior angle of a triangle
8 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
9 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
10 P5.AN.JM.17083153
Level 3
The figure shows a parallelogram. Find
  1. ∠x
  2. ∠y
  3. ∠z
3 m
Parallelogram Vertically opposite angles Angles sum of triangle Exterior angle of a triangle Alternate angles
11 P5.AN.JM.17083263
Level 3
In the figure, PQST, PYWV, RQYX, XWUT and RSUV are straight lines. Find the value of ∠a + ∠b + ∠c + ∠d.
3 m
Exterior angle of a triangle Sum of angles in a star
12 P5.AN.JM.17083161
Level 3
In the figure, ABCD is a rhombus and ACE is a straight line. Find ∠BEC.
4 m
Isosceles triangle Rhombus Exterior angle of a triangle
13 P5.AN.JM.17083222
Level 3
In the figure, not drawn to scale, ABC, BFG, BDE, ADF are straight lines. Given that ∠CBF is twice the size of ∠FBD. Find ∠BAF.
4 m
Vertically opposite angles Exterior angle of a triangle Times as many
14 P5.AN.JM.17083225
Level 3
In the figure, PQ = PS, ∠QPS = 34° and ∠TRS = 15°. Find
  1. ∠x
  2. ∠y
4 m
Isosceles triangle Angles on a straight line Angles sum of triangle Exterior angle of a triangle
15 P5.AN.JM.17083134
Level 3
ABCE is a rectangle. Given that FBD is an isosceles triangle, find ∠DBC.
4 m
Right angle Rectangle Isosceles triangle Angles sum of triangle Exterior angle of a triangle
16 P5.AN.JM.17083135
Level 3
In the figure, ABC and CDE are isosceles triangles where AC = BC and CD = CE. Given that DF, EH and AJ are straight lines, find
  1. ∠GKJ
  2. ∠EFK
4 m
Isosceles triangle Angles on a straight line Vertically opposite angles Angles sum of triangle Exterior angle of a triangle
17 P5.AN.JM.17083156
Level 3
The figure shows a parallelogram. Find
  1. ∠a
  2. ∠b
  3. ∠c
4 m
Parallelogram Angles sum of triangle Exterior angle of a triangle Alternate angles
18 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
19 P5.AN.JM.17083256
Level 3
In the figure, ABCD is a parallelogram. O is the centre of the circle. Find
  1. ∠ADC
  2. ∠ABD
4 m
Parallelogram Angles sum of triangle Exterior angle of a triangle Interior angles Angle properties within a circle
20 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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