# Angles Mixed

## Find the unknown angles in these diagrams which are not drawn to scale

##### Menu  Level 1Level 2Level 3Level 4Level 5Angle ChaseExamHelpMore

This is level 2: questions similar to level 1 but requiring a multi-step method to find the unknown angle. You will be awarded a trophy if you get at least 9 correct and you do this activity online.

 1 ☐ $$a$$ = ☐ ✓ ✗ 2 ☐ $$b$$ = ☐ ✓ ✗ 3 ☐ $$c$$ = ☐ ✓ ✗ 4 ☐ $$d$$ = ☐ ✓ ✗ 5 ☐ $$e$$ = ☐ ✓ ✗ 6 ☐ $$f$$ = ☐ ✓ ✗ 7 ☐ $$g$$ = ☐ ✓ ✗ 8 ☐ $$h$$ = ☐ ✓ ✗ 9 ☐ $$i$$ = ☐ ✓ ✗ 10 ☐ $$j$$ = ☐ ✓ ✗ 11 ☐ $$k$$ = ☐ ✓ ✗ 12 ☐ $$l$$ = ☐ ✓ ✗
Check

This is Angles Mixed level 2. You can also try:
Level 1 Level 3 Level 4 Level 5

## Instructions

Try 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.

## More Activities:

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 October 'Starter of the Day' page by E Pollard, Huddersfield:

"I used this with my bottom set in year 9. To engage them I used their name and favorite football team (or pop group) instead of the school name. For homework, I asked each student to find a definition for the key words they had been given (once they had fun trying to guess the answer) and they presented their findings to the rest of the class the following day. They felt really special because the key words came from their own personal information."

Comment recorded on the s /Coordinate 'Starter of the Day' page by Greg, Wales:

"Excellent resource, I use it all of the time! The only problem is that there is too much good stuff here!!"

Each month a newsletter is published containing details of the new additions to the Transum website and a new puzzle of the month.

The newsletter is then duplicated as a podcast which is available on the major delivery networks. You can listen to the podcast while you are commuting, exercising or relaxing.

Transum breaking news is available on Twitter @Transum and if that's not enough there is also a Transum Facebook page.

#### Lemon Law

A fascinating digit changing challenge. Change the numbers on the apples so that the number on the lemon is the given total. Can you figure out, by understanding place value, how this works?

There 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.

Subscribe

## Go Maths

Learning 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 Map

Are 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.

## Teachers

If you found this activity useful don't forget to record it in your scheme of work or learning management system. The short URL, ready to be copied and pasted, is as follows:

Alternatively, if you use Google Classroom, all you have to do is click on the green icon below in order to add this activity to one of your classes.

It may be worth remembering that if Transum.org should go offline for whatever reason, there is a mirror site at Transum.info that contains most of the resources that are available here on Transum.org.

When planning to use technology in your lesson always have a plan B!

Wednesday, May 4, 2022

"

"

Do you have any comments? It is always useful to receive feedback and helps make this free resource even more useful for those learning Mathematics anywhere in the world. Click here to enter your comments.

For Students:

For All:

Scan the QR code below to visit the online version of this activity.

https://www.Transum.org/go/?Num=914

## Description of Levels

Close

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 multi-step 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/A-level exam paper questions (worked solutions are available for Transum subscribers).

More Angles Resources including lesson Starters, visual aids, investigations and self-marking exercises.

## More Focussed 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.

## Curriculum Reference

See the National Curriculum page for links to related online activities and resources.

## Example

The video above focusses on the angles in a triangle. You will also need to know the other Angle Theorems.

### Angles at a point

The sum of the angles that fit around a point is 360°.

a° + b° + c° = 360°

### Angles on a straight line

The sum of the angles that fit on a straight line 180°.

a° + b° = 180°

### Vertically opposite angles

Where two straight lines cross vertically opposite angles are equal.

a = b

### Alternate angles

This diagram shows pairs of alternate angles which are equal

### Corresponding angles

This 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 double-click 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.

Close