Angle Facts Exam Questions - Web Maths



Angle Facts Exam Questions

The diagram shows a triangle ABC. D is a point on AB such that DB = DA = DC. Angle ABC = 20º.

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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.

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(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.

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