# Angles Mixed

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

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This is level 1: basic questions on angles together on a straight line, angles at a point, angles in a triangle and a quadrilateral. 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 ☐ $$l$$ = ☐ ✓ ✗
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This is Angles Mixed level 1. You can also try:
Level 2 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.

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## 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.

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

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

## Description of Levels

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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 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.

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