Angles MixedFind the unknown angles in these diagrams which are not drawn to scale 
This is level 3: introducing angles with parallel lines and in in polygons. You will be awarded a trophy if you get at least 9 correct and you do this activity online.
InstructionsTry your best to answer the questions above. Type your answers into the boxes provided leaving no spaces. As you work through the exercise regularly click the "check" button. If you have any wrong answers, do your best to do corrections but if there is anything you don't understand, please ask your teacher for help. When you have got all of the questions correct you may want to print out this page and paste it into your exercise book. If you keep your work in an ePortfolio you could take a screen shot of your answers and paste that into your Maths file. 




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Mathematicians are not the people who find Maths easy; they are the people who enjoy how mystifying, puzzling and hard it is. Are you a mathematician? Comment recorded on the 19 June 'Starter of the Day' page by Nikki Jordan, Braunton School, Devon: "Excellent. Thank you very much for a fabulous set of starters. I use the 'weekenders' if the daily ones are not quite what I want. Brilliant and much appreciated." Comment recorded on the 3 October 'Starter of the Day' page by S Mirza, Park High School, Colne: "Very good starters, help pupils settle very well in maths classroom." 
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AnswersThere are answers to this exercise but they are available in this space to teachers, tutors and parents who have logged in to their Transum subscription on this computer. A Transum subscription unlocks the answers to the online exercises, quizzes and puzzles. It also provides the teacher with access to quality external links on each of the Transum Topic pages and the facility to add to the collection themselves. Subscribers can manage class lists, lesson plans and assessment data in the Class Admin application and have access to reports of the Transum Trophies earned by class members. If you would like to enjoy adfree access to the thousands of Transum resources, receive our monthly newsletter, unlock the printable worksheets and see our Maths Lesson Finishers then sign up for a subscription now: Subscribe 

Go MathsLearning and understanding Mathematics, at every level, requires learner engagement. Mathematics is not a spectator sport. Sometimes traditional teaching fails to actively involve students. One way to address the problem is through the use of interactive activities and this web site provides many of those. The Go Maths page is an alphabetical list of free activities designed for students in Secondary/High school. Maths MapAre you looking for something specific? An exercise to supplement the topic you are studying at school at the moment perhaps. Navigate using our Maths Map to find exercises, puzzles and Maths lesson starters grouped by topic.  
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❎Level 1  Basic questions on angles together on a straight line, angles at a point, angles in a triangle and a quadrilateral
Level 2  Questions similar to Level 1 but requiring a multistep method to find the unknown angle
Level 3  Introducing angles with parallel lines and in in polygons
Level 4  Including angles in circles
Level 5  Mixed questions
Angle Chase  Use knowledge and reasoning to fill in the angles on the geometrical diagrams.
Exam Style Questions  A collection of problems in the style of GCSE or IB/Alevel exam paper questions (worked solutions are available for Transum subscribers).
More Angles Resources including lesson Starters, visual aids, investigations and selfmarking exercises.
Angle Points  on a line, vertically opposite and angles at a point
Angles in a Triangle  scalene, isosceles and equilateral
Angles in a Polygon  interior and exterior
Angle Parallels  alternate and corresponding
Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.
See the National Curriculum page for links to related online activities and resources.
The video above focusses on the angles in a triangle. You will also need to know the other Angle Theorems.
Angles at a pointThe sum of the angles that fit around a point is 360°. a° + b° + c° = 360° 

Angles on a straight lineThe sum of the angles that fit on a straight line 180°. a° + b° = 180° 

Vertically opposite anglesWhere two straight lines cross vertically opposite angles are equal. a = b 
Alternate anglesThis diagram shows pairs of alternate angles which are equal 

Corresponding anglesThis diagram shows pairs of corresponding angles which are equal 
A reminder of the Circle Theorems here.
Don't wait until you have finished the exercise before you click on the 'Check' button. Click it often as you work through the questions to see if you are answering them correctly. You can doubleclick the 'Check' button to make it float at the bottom of your screen.
Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.
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Sudeep, Twitter
Wednesday, May 4, 2022
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