141 P5.AN.JM.17083155
Level 3
In the figure, given that KLMN is a parallelogram and QP is parallel to MN, find
  1. ∠KNM
  2. ∠MKN
  3. ∠KML
4 m
Parallelogram Angles sum of triangle Alternate angles Corresponding angles
142 P5.AN.JM.17083245
Level 3
VXY is an equilateral triangle, PQRS is a rectangle and TUYX is a trapezium. VXT and VYU are straight lines. If ∠f = 80°, find
  1. ∠XTU
  2. Sum of ∠g, ∠h, ∠i and ∠j.
4 m
Right angle Rectangle Equilateral triangle Trapezium Corresponding angles
143 P5.AN.JM.17083170
Level 3
ABCD is a rhombus. BO = BE. Find
  1. ∠y
  2. ∠x
4 m
Rhombus Interior angles
144 P5.AN.JC.18011601
Level 3
Given the figure, find
  1. ∠z
  2. ∠y
  3. ∠x
4 m
Angles on a straight line Alternate angles Interior angles
145 P5.AN.JM.17083144
Level 3
The figure shows a parallelogram STUV and a triangle VXY. UVX and ZVY are straight lines. Find ∠XYV.
4 m
Triangle Parallelogram Vertically opposite angles Angles sum of triangle Interior angles
146 P5.AN.JM.17083176
Level 3
The figure is not drawn to scale. MNOP is a square. JKLM is a parallelogram.
  1. Name the trapezium in the figure. Give your answer in letters in alphabetical order. (Eg ABCD)
  2. Find ∠JMP
4 m
Square Parallelogram Trapezium Right angle Angles sum of triangle Interior angles
147 P5.AN.JM.17083165
Level 3
In the figure, ABDE is a rhombus and BD = BC. Given that ∠EAB = 118°, find ∠EBC.
4 m
Isosceles triangle Rhombus Angles on a straight line Angles sum of triangle
148 P5.AN.JM.17083152
Level 3
ADEH and ACFH are parallelograms and BGF is an isosceles triangle. Given that ∠BFC = 39°, ∠AHG = 63° and ∠DFE = 49°, find
  1. ∠CFD,
  2. ∠DCF.
4 m
Isosceles triangle Parallelogram Angles on a straight line Interior angles
149 P5.AN.JM.17083183
Level 3
ABCD is a parallelogram. ADE and BFE are straight lines. Find the values of
  1. ∠t
  2. ∠w
  3. ∠v
  4. ∠u
4 m
Isosceles triangle Parallelogram Alternate angles Interior angles
150 P5.AN.JM.17083151
Level 3
In the figure, GACF and GABE are parallelograms. Given that ∠CAD = 13°, ∠GFE = 77° and GEF is an isosceles triangle where GE = GF. Find
  1. ∠ADC,
  2. ∠GAD.
4 m
Parallelogram Angles sum of triangle Alternate angles Interior angles
151 P5.AN.JM.17083173
Level 3
ABCD and RSTC are rhombuses. Find ∠RVB.
4 m
Isosceles triangle Rhombus Angles sum of triangle Corresponding angles
152 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
153 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
154 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
155 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
156 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
157 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
158 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
159 P5.AN.JM.17083172
Level 3
ABCD is a rhombus. Find ∠z.
4 m
Isosceles triangle Rhombus Angles on a straight line Vertically opposite angles Interior angles Sum of angles in a quadrilateral
160 P5.AN.JM.17083259
Level 3
In the figure, O is the centre of the circle and SPQ is a straight line. Given that RS is parallel to OP, find ∠PSR.
4 m
Corresponding angles Angle properties within a circle

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