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Use these worksheets to gain experience with the cross sections and solids appearing on the 7th grade FSA

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This activity allows manipulation and investigation of various types of angles. The online protractor tool can be used to practice measuring angles. It can be used at a variety of different grade levels. At its most basic for teaching about types of angles, acute, obtuse or reflex. For more advanced use to create angle problems in which the missing letter angle values have to be found. You can click and drag the handles to change the angles and the values will updated.

The controls

The mode control is used to it selects the type of angle problem.

Next to this is number of lines. But please note this control is disabled for both 'one' and 'intersect' modes.

the random button sets each angle to a random value

the equals button make all the angles equal.

the Protractor button when clicked will show or hide a protractor

Paper can select spots, squares or none for the background.

Use the angles display to choose whether to show or hide angles

In all the modes individual angles can be shown or hidden for example click the angle (a). Notice when the value is hidden the angle value next to the angle arc is replaced by the corresponding letter.

The handles at the end of each line can be clicked and dragged to change the angle.

Mode 'one' Identifying angle types.

The initial mode is unique in that there is only one angle. This mode is great for identifying various types of angles. Click the angle type ctrl to either show or hide the type. So now you can change the angle by dragging a handle or clicking dice for a random value. The angle types definitions are listed in the glossary below.

Complementary Angles mode

In this mode a complementary angle is shown, complementary angles add up to 90° Initially the 90° is split by just one line but this can be changed by selecting a different number of lines. A standard school problem is to have one missing angle that needs to be calculated. You can produce infinite such problems by selecting calculate from angles display, now press dice for a new problem.

Supplementary Angles mode

Supplementary angles are angles that add up to 180°. This mode behaves exactly the same as the previous.

Angles at a point mode

The angles at a point add up to 360°. In this mode press = button to make all the angles equal. This can be good way to start a problem followed by small adjustments to the lines by dragging.

Angles at intersecting lines mode

The final mode deals with angles produced by an intersection of two lines. If you have selected calculate you will notice that only one angle is given and all the other 3 can be worked out using the vertically opposite rule, or spotting the supplementary angles.

Angles Glossary

Acute Angle

Any angle that is less than 90°

Right Angle

An angle that is 90°

Obtuse Angle

An angle greater than 90° but less than 180°

Straight Angle

An angle of 180° which makes a straight line

Reflex Angle

An angle greater than 180°

Related activities

The interactive clock angles activity can also be used in explaining angles.

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Online protractor & angle maker | interactive angle visualiser | visnos

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Easy measure angles, using interactive whiteboard angle simulator. Online protractor or angle problems with acute, obtuse, reflex angles. Further complementary, supplementary and angles at a point. Use on interactive whiteboards, angles can be automatically shown or measured with a protractor.

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Complementary- sum to 90

Supplementary- sum to 180

Vertical- across from each other, equal size

Adjacent-neighbors (share a vertex and side)

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Identifying supplementary, complementary, and vertical angles (practice) | Khan Academy

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Practice telling whether two angles are supplementary, complementary, or vertical.

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Join an activity with your class and find or create your own quizzes and flashcards.

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Gimkit is a game show for the classroom that requires knowledge, collaboration, and strategy to win. Get started for free!

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Gimkit is a game show for the classroom that requires knowledge, collaboration, and strategy to win. Get started for free!

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Can you work out the size of the angle marked with a letter in the given triangles?

This is level 1: find the marked angle in the triangle diagrams. You can earn a trophy if you get at least 7 questions correct and you do this activity online.

This is Angles in a Triangle level 1. You can also try:
Level 2

© Transum Mathematics 1997-2023
Scan the QR code below to visit the online version of this activity.

https://Transum.org/go/?Num=143

Description of Levels

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It is assumed that the angles together on a straight line theorem is already known.

Level 1 - Find the marked angle in the triangle diagrams

Level 2 - More interesting problems about the angles in triangles

Angles at a point - Apply the properties of angles at a point, angles on a straight line and vertically opposite angles.

Angles with Parallel Lines - Understand and use the relationship between parallel lines and alternate and corresponding angles.

Polygon Angles - Practise the skills of finding interior and exterior angles of polygons to answer these questions.

Angles in Circles - Show that you understand the circle theorems with this self marking exercise.

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

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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Help

The diagrams are not drawn to scale but lines that look like straight lines can be taken as straight lines.

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.

The boxes made available to show working don't have to be used. It would be better to set out your working neatly in you exercise book but that may not always be practical.

+ The blue button allows you to add extra lines of working.

Please note that when the system marks your answers the working is not taken into consideration.

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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Typing Mathematical Notation

These exercises use MathQuill, a web formula editor designed to make typing Maths easy and beautiful. Watch the animation below to see how common mathematical notation can be created using your keyboard.

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Can you work out the size of the angle marked with a letter in the given triangles?

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Gimkit is a game show for the classroom that requires knowledge, collaboration, and strategy to win. Get started for free!

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IXL - Whitman-Hanson Regional School District

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Sign in to IXL for Whitman-Hanson Regional School District! Students will love earning awards and prizes while improving their skills in math, language arts, and science.

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Why do 3 given angle measures create more than one triangle?

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Why do 3 given angle measures create more than one triangle?

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Does a

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7.3 Using Technology to Draw Triangles - Angle Measures

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Does the creation of a triangle given angle-angle-angle result in a unique triangle?

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Area of Composite Shapes - Steps, Examples & Questions

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Free area of composite shapes math school topic guide, including step-by-step examples, free practice questions, teaching tips, and more!

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Use your knowledge of rectangle areas to calculate the missing measurements.

Find the value of the question marks in the following diagrams.
All of the shapes are rectangles but are not drawn to scale.
Your working should only contain whole numbers.

© Transum Mathematics 1997-2023
Scan the QR code below to visit the online version of this activity.

https://Transum.org/go/?Num=696

Description of Levels

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Missing Lengths - Related challenge.

Level 1 - Beginner

Level 2 - Basic

Level 3 - Intermediate

Level 4 - Advanced

More Area resources including lesson Starters, visual aids, investigations and self-marking exercises.

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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Curriculum Reference

Example

This video is from Jeff Lewis, a third grade teacher and class at Seisen International School in Tokyo, Japan.

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.

Log in Sign up

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Use your knowledge of rectangle areas to calculate the missing measurements.

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Adaptive quiz- click "View Practice!" in the bottom right corner

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Adaptive quiz- click "View Practice!" in the bottom right corner