Mastering Angles in Polygons
Mathematics
Grade 7
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A worksheet covering Angles in Polygons for Grade 7 students.
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Mastering Angles in Polygons
Subject: MathematicsGrade: Grade 7
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Date:
Untitled Worksheet
Grade Grade 7
A
Introduction
Review the key formulas related to angles in polygons. Use the formulas to solve the questions below.
B
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
What is the sum of interior angles of a hexagon?
[2 marks]2.
Calculate the measure of each interior angle in a regular octagon.
[2 marks]3.
A pentagon has one interior angle measuring 120°. If the other four angles are equal, what is their measure?
[3 marks]4.
What is the sum of the interior angles of a decagon?
[2 marks]5.
In a regular polygon with 12 sides, what is the measure of each interior angle?
[2 marks]6.
A polygon has an interior angle of 135°. If the other angles are equal, how many sides does the polygon have?
[3 marks]7.
Calculate the sum of interior angles of an irregular heptagon.
[3 marks]8.
In a regular dodecagon, what is the measure of each exterior angle?
[2 marks]9.
A polygon has interior angles measuring 100°, 110°, 120°, 130°, and 140°. What is the total sum of these angles?
[2 marks]10.
Challenge: A polygon's interior angles are all equal except for one angle which is 20° more than the others. If the total sum of interior angles is 1800°, how many sides does the polygon have?
[4 marks]11.
Real-world application: A triangular sign has two angles measuring 45° and 60°. What is the measure of the third angle? Show your working.
[3 marks]Quick Actions
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Details
- Created
- 12/30/2025
- Updated
- 12/30/2025
- Type
- worksheet