Angles MixedFind the unknown angles in these diagrams which are not drawn to scale 
This is level 4: including angles in circles. 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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❎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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