Maths Resources GCSE Worksheets


Angles On A Straight Line Worksheet

Angles On A Straight Line Worksheet

Help your students prepare for their Maths GCSE with this free angles on a straight line worksheet of 44 questions and answers

  • Section 1 of the angles on a straight line worksheet contains 36 skills-based angles on a straight line questions, in 3 groups to support differentiation
  • Section 2 contains 4 applied angles on a straight line questions with a mix of worded problems and deeper problem solving questions
  • Section 3 contains 4 foundation and higher level GCSE exam style questions 
  • Answer keys and a mark scheme for all questions are provided
  • Questions follow variation theory with plenty of opportunities for students to work independently at their own level
  • All questions created by fully qualified expert secondary maths teachers
  • Suitable for GCSE maths revision for AQA, OCR and Edexcel exam boards

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Angles on a straight line at a glance


Measuring angles with a protractor on a scale diagram is one way to find the size of unknown angles. However, a more efficient method is to use known angle facts when finding missing angles or calculating angles in 2D shape problems. 


Angles on a straight line sum to 180°, so if, for example, we know that acute angle ‘a’ and obtuse angle ‘b’ lie on a straight line, and we know the size of angle ‘a’, we can find the size of angle ‘b’ by subtracting angle ‘a’ from 180°. 


A special case of this rule is pairs of angles whose sum is 180° – these are called supplementary angles (this terminology is not required at GCSE, but the idea is useful). 


Sometimes a missing angle problem might include a right angle, marked with the ∟ symbol. This can confuse students, so it’s important they recognise the symbol for a right angle, use subtraction from 180° to leave 90°, and then use other information to solve to find the unknown angle.


The fact about angles on a straight line can be extended further to 2D shape problems requiring students to solve an equation to find unknown angles. 


Looking forward, students can then progress to additional angles rules worksheets and other geometry worksheets, for example an angles in polygons worksheet or volume and surface area of spheres worksheet.


GCSE maths worksheets


For more teaching and learning support on Geometry our GCSE maths lessons provide step by step support for all GCSE maths concepts. 

Do you have GCSE students who need additional support?

GCSE Maths Worksheets

There will be students in your class who require individual attention to help them achieve their target GCSE maths grade. In a class of 30, it’s not always easy to provide.

Help your students feel confident with exam-style questions and the strategies they’ll need to answer them correctly with personalised online one to one tutoring from Third Space Learning

Lessons are selected to provide support where each student needs it most, and specially-trained GCSE maths tutors adapt the pitch and pace of each lesson. This ensures a personalised revision programme that raises grades and boosts confidence.

GCSE Revision Programme