Mastering Angles in Polygons
Mathematics
Grade 8
0 questions
0 views0 downloads
About This Worksheet
A worksheet covering Angles in Polygons for Grade 8 students.
Topics covered:
Worksheet Preview
Full preview • 0 questions
Mastering Angles in Polygons
Subject: MathematicsGrade: Grade 8
Name:
Date:
Untitled Worksheet
Grade Grade 8
A
Introduction
Review the key formula: The sum of interior angles in an n-sided polygon is (n - 2) × 180°. Use this to find missing angles in various polygons.
B
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Calculate the sum of interior angles of a decagon (10-sided polygon).
[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 octagon?
[2 marks]4.
A pentagon has interior angles measuring 108°, 108°, 108°, 108°, and one unknown angle. Find the missing angle.
[3 marks]5.
Calculate the sum of interior angles of an icosagon (20-sided polygon).
[2 marks]6.
In a regular decagon, what is the measure of each interior angle?
[2 marks]7.
A polygon has an interior angle of 135°. If the polygon is regular, how many sides does it have?
[3 marks]8.
Determine the number of sides of a polygon if each interior angle measures 150°.
[3 marks]9.
A polygon has 12 sides. Calculate the sum of its interior angles.
[2 marks]10.
In a convex polygon, if one interior angle is 110° and the rest are equal, what is the measure of each of the other angles?
[3 marks]11.
Challenge: A farmer is designing a pentagonal garden fence with all interior angles equal. If each angle measures 108°, what is the total length of the fence if each side is 10 meters?
[4 marks]12.
Real-world application: A company designs a hexagonal tile pattern where each tile's interior angles are equal. If each interior angle is 120°, how many such tiles are needed to cover a floor measuring 30 meters by 20 meters?
[4 marks]Quick Actions
What is Remix?
Create a new worksheet based on this one. Change the grade level, topic, number of questions, or difficulty - then generate a fresh version.
- • Change grade level (Grade 6 → Grade 7)
- • Swap topics (Harry Potter → Macbeth)
- • Add more questions (10 → 15)
- • Adjust difficulty
Related Worksheets
Details
- Created
- 12/30/2025
- Updated
- 12/30/2025
- Type
- worksheet