Edexcel IGCSE Math B 6.C Angle properties Question Bank

Practise calculating missing angles in polygons, parallel-line diagrams and triangles, with reasons for each stage of working.

Exam points

calculate missing angles using parallel-line facts, triangles and straight lines
find interior or exterior angles of regular polygons, including the number of sides
prove angle sums by matching alternate angles in a diagram with parallel lines

[Maximum number: 2]

Each interior angle of a regular polygon is $172^{\circ}$

Calculate the number of sides of the polygon.

The length of each side of the regular polygon is 5.2 cm to 2 significant figures.

$\frac{360}{180-172}=45$
Final answer:
45

Marking notes:
Equivalent equation (n-2)180=172n is allowed.

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