Angle Facts Exam Questions
The diagram shows a triangle ABC. D is a point on AB such that DB = DA = DC. Angle ABC = 20º.
Work out the size of angle ACB. You must show your working.
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Answer ...... degrees (3 marks)
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(a) ABCD is a quadrilateral. Work out the size of the exterior angle a.
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Answer ...... degrees (3 marks)
(b) Tim says he can draw a quadrilateral with exactly three right angles.
Explain why this is not possible.
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ABC is an isosceles triangle. Triangle ABD has a right angle at B.
Angle ADB = 40º Angle CBE = 50º Work out the size of angle x.
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Answer ...... degrees (3 marks)
ABC is an isosceles triangle. AB = BC Work out the values of x and y.
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Answer x = ...... degrees y = ...... degrees (3 marks)
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(a) Work out the size of angles a and b.
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Answer a = ...... degrees, b = ...... degrees (3 marks)
(b) Show that x + y + z = 180
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ABC is a right-angled triangle. Work out the value of x.
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Answer x = ...... degrees (2 marks)
ABCDE is a regular pentagon. Work out the value of x.
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Answer x = ...... degrees (4 marks)
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ABC is an isosceles triangle. BCDE is a kite. Work out the value of x.
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Answer ...... degrees (3 marks)
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(a) ABCD is a quadrilateral. The side DC is extended to E. Work out the value of x.
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Answer ...... degrees (3 marks)
(b) Calculate the size of the exterior angle of a regular hexagon.
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Answer ...... degrees (2 marks)
The diagram shows a regular octagon.
Calculate the size of the exterior angle of the regular octagon, marked y on the diagram.
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In the diagram AB is parallel to CD. Work out the value of x.
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In the diagram, AB is parallel to CD.
(a) State the value of x. Give a reason for your answer.
Answer ...... degrees
Reason ......
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(b) Find the value of y.
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Answer ...... degrees (2 marks)
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ABCD is a rhombus and ABCE is a kite. Work out the value of x.