Angle Properties — Questions

IGCSE Mathematics (0580) practice questions. Work through each question before checking the solutions page.

Question 1

[3](a)Calculate the sum of the interior angles of a regular hexagon, and hence the size of each interior angle.

Question 2

[2](a)Calculate the size of each exterior angle of a regular pentagon.

Question 3

[3](a)Calculate the sum of the interior angles of an octagon, and hence each interior angle of a regular octagon.

Question 4

[2](a)Calculate the exterior angle of a regular polygon with 10 sides.

Question 5

[1](a)Two angles in a triangle are 50° and 65°. Calculate the third angle.

Question 6

[2](a)Two parallel lines are cut by a transversal. Name the angle relationship between co-interior (allied) angles, and state their sum.

Question 7

[2](a)A quadrilateral has angles 90°, 85°, 100° and x°. Find x.

Question 8

[2](a)Calculate the interior angle of a regular nonagon (9 sides).

Question 9

[1](a)State the relationship between vertically opposite angles.

Question 10

[1](a)State the relationship between alternate angles formed by a transversal crossing parallel lines.

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