CIE iGCSE Maths E4.6 Angles Exam Style Practice Questions- Paper 2

Question

The diagram shows two parallel lines intersected by two straight lines.

Find the values of a, b and c.

▶️ Answer/Explanation

Solution

Ans: a = 59, b = 37, c = 84

a = 59° (corresponding angles)

b = 180° – 143° = 37° (angles on straight line)

c = 180° – a – b = 180° – 59° – 37° = 84° (angles in triangle)

Question

On a map, the positions of the towns L, M and N form an equilateral triangle. The bearing of M from L is 103°.

Work out the bearing of L from N.

▶️ Answer/Explanation

Answer: 343°

In an equilateral triangle, all angles are 60°. Subtract 60° from the given bearing (103°) and adjust for compass direction to get 343°.

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