Pearson Edexcel IGCSE · Mathematics (Specification A)

Angles, lines and triangles: Practice Questions

5 multiple-choice questions marked as you go, and 5 written questions with worked solutions. All on Angles, lines and triangles.

10 questions23 marksFree, no account

Question 1

1 mark

Which of the following terms describes an angle that is greater than \(180^\circ\) but less than \(360^\circ\)?

Question 2

1 mark

In the diagram, lines \(PQ\) and \(RS\) are parallel. A transversal line intersects them such that a pair of allied (co-interior) angles are represented by \((4x + 20)^\circ\) and \((x + 10)^\circ\).
Find the value of \(x\).

Question 3

1 mark

The interior angles of a triangle are \(x^\circ\), \((x + 20)^\circ\), and \((2x - 40)^\circ\).
Calculate the size of the largest exterior angle of this triangle.

Question 4

1 mark

Two straight lines intersect at a point. One of the angles formed by the intersection is \(48^\circ\).
What is the size of the angle vertically opposite to it?

Question 5

1 mark

Two parallel lines are intersected by a transversal. A pair of allied (co-interior) angles are represented by \(4x\) and \(x + 20\).
Find the value of \(x\).

Question 6

2 marks

State the size of each interior angle in an equilateral triangle.

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Question 7

3 marks

In triangle \(PQR\), side \(QR\) is extended to a point \(S\). Angle \(PQR = 55^\circ\) and angle \(QPR = x^\circ\).
If the exterior angle \(PRS = 122^\circ\), find the value of \(x\).

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Question 8

6 marks

In triangle PQR, the side PQ is extended to a point S. Given that \(PQ = PR\) and the exterior angle \(RQS = 130^\circ\), find the size of angle \(QPR\).

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Question 9

2 marks

In a right-angled triangle, one of the acute angles is \(34^\circ\).
Calculate the size of the other acute angle.

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Question 10

5 marks

The diagram shows two triangles, \(ABC\) and \(BCD\).
Triangle \(ABC\) is an equilateral triangle.
Triangle \(BCD\) is an isosceles triangle where \(BC = BD\) and angle \(CBD = 40^\circ\).

(a) Find the size of angle \(ABD\).
(b) Find the size of angle \(BDC\).

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