Angles and polygons
What angles and polygons means
You use angle facts to find missing values in lines, triangles and polygons. This helps you check diagrams quickly and solve exam questions with confidence.
What you will practise
- Find missing angles on a straight line
- Use 180° for angles in a triangle
- Work out the sum of interior angles in polygons
- Choose the right angle fact from a diagram
- Check answers by subtracting from the correct total
Before you start
You should already know how to read simple angle diagrams and use subtraction confidently. It also helps if you can recognise sides, vertices and common shapes.
Worked example
One question from this skill's own question bank, shown with its full working.
Two angles on a straight line measure x° and 65°. Find x.
- 25
- 65
- 115
- 295
Working: Angles on a straight line sum to 180°: x = 180 − 65 = 115.
Common mistakes to avoid
- Adding angles on a straight line instead of making them total 180°.
- Using the triangle rule on four-sided or five-sided shapes.
- Forgetting to subtract all known angles before finding the missing one.
- Mixing up the number of sides with the number of angles in a polygon.
Curriculum and exam alignment
This topic normally appears in Junior High School Geometry and Measurement work, where you learn to use angle facts in plan shapes. It supports BECE-style questions that ask you to find missing angles and use polygon rules correctly.
Curriculum notes are a general guide to where this work normally sits. Always check the syllabus your school or examination body is currently using.
Related skills
Other JHS Geometry & Measurement skills in Maths, at the same point in the course.
Other Maths topics
Related study guides
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Exams that assess angles and polygons
Junior High work on this skill feeds directly into these exam papers. Each page lists the Maths topics that appear on it.
How this page was produced
This text was drafted with AI assistance from the questions and topics already stored on the platform. A subject-specialist review is scheduled but has not yet been recorded, so we do not claim it here.
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Practise angles and polygons
6 questions with a worked answer after every attempt, and a SmartScore that tracks how close you are to mastery.
