Mastering Angles in Polygons
Mathematics
Year 9
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A worksheet covering Angles in Polygons for Year 9 students.
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Mastering Angles in Polygons
Subject: MathematicsGrade: Year 9
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Date:
Untitled Worksheet
Grade Year 9
A
Introduction
Review the key formulas for calculating angles in polygons. Recall that the sum of interior angles of an n-sided polygon is (n - 2) × 180°.
B
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Calculate the sum of interior angles of a decagon.
[2 marks]2.
Find the measure of each interior angle in a regular hexagon.
[2 marks]3.
What is the measure of an exterior angle of a regular pentagon?
[2 marks]4.
Calculate the sum of interior angles of an octagon.
[2 marks]5.
In a regular heptagon, what is the measure of each interior angle?
[2 marks]6.
Calculate the measure of an exterior angle in a regular octagon.
[2 marks]7.
A polygon has an interior angle of 150°. How many sides does it have?
[3 marks]8.
A regular polygon has an exterior angle of 30°. How many sides does it have?
[3 marks]9.
Explain why the sum of exterior angles of any polygon is always 360°.
[4 marks]10.
A hexagon has five interior angles measuring 120°, 125°, 130°, 125°, and 120°. Find the measure of the sixth interior angle.
[4 marks]11.
A regular dodecagon (12-sided polygon) is drawn. Calculate the measure of each interior angle.
[3 marks]12.
A polygon has an interior angle of 135°. How many sides does it have?
[3 marks]Quick Actions
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Details
- Created
- 12/30/2025
- Updated
- 12/30/2025
- Type
- worksheet