P6 Math Angles Free Response

1.ABCD is a rectangle. DBE is a straight line. Find ∠CDBAns: _________________2.In the space below, draw a parallelogram ABCD in which ∠ABC is ∠30° and AB is 8cmand BC is 5cm. The line AB has been drawn for you.Measure AC. Round off the answer to the nearest whole number.Ans:_________________3.A compass was pointing North when Isis faced Tammy. After turning 135° clockwise, Isiswas facing the road. How many degrees clockwise must Isis turn to face Tammy again?Ans: _________________°

4.The figure below is not drawn to scale.ABCD is a trapezium. It is folded along the dotted line as shown.Find ∠CPD.Ans: _________________°5.In the diagram, WXYZ and PQRS are rhombuses. Find ∠SAY.Ans: ________________

6.The figure below is not drawn to scale. AB and CD are straight lines. Find ∠x. 56oAns: _________________7.In the figure below, A and B are 2 points on a map. Point A is north of Point B. Point C iseast of B and ∠BAC is 40°.(a) Draw a triangle ABC by completing the figure.(b) Measure and write down the length of AC.Ans: (b) _________________

8.In the figure, not drawn to scale, AC, AF, BD, BG and BH are straight lines.BD = BE. Find ∠f.Ans: _________________9.In the figure below, XYZ is an equilateral triangle and XWZ is a right-angled isoscelestriangle. Find ∠WXY.Ans: _________________°

10.The figures below shows two identical isosceles triangles. Find ∠a.Ans: _________________11.ABCD is a square and CDE is an equilateral triangle. AC and DF are straight lines.(a) Find the value of ∠x.(b) Find the value of ∠y.Ans: (a)_________________Ans: (b)_________________

12.The figure below is not drawn to scale. ABCD is a square. ADE is an equilateral triangle.Find ∠DFE.Ans: _________________°13.Construct a triangle ABC such that AB = 6 cm, ∠BAC = 60° and ∠BCA = 30°. Measure andwrite the length of AC.Ans: _________________

14.In the figure, ∠BAD is a right angle and AC = AD. Find(a) ∠ACD.(b) ∠BDC.Ans: (a)_________________Ans: (b)_________________15.In the figure, AGED is a parallelogram. ACD and DFE are triangles.Given that ∠FGB = 70°, ∠ACD = 30° and ∠BDA = 30°, find ∠HDB.Ans: _________________°

16.In the figure below, ABCD is a square, DC = DE, AFE and BFD are straight lines. Given that∠AFB is 103° , find ∠FDE.Ans: _________________17.In the figure below, ABCD is a trapezium. Given that ∠DCB = 130° and ∠DBA = 35°, find∠CBD.Ans: _________________°

18.The figure below shows a right-angled triangle ABC.In the figure above, draw two lines, AD and CD, such that AD // BC and ∠ACD = 60°.19.In the figure below, ABCD is a rectangle and KMN is a triangle. Given that ∠AQK = 114°,∠QLM = 110°,∠PMN = 24° and JKLM is a straight line, find(a) ∠x, and(b) ∠yAns: (a)_________________Ans: (b)_________________