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Adding the Angles of a Triangle
To investigate the angles in a triangle, complete the following questions.
- Use a pencil and ruler to draw a triangle on a sheet of blank paper. Make sure the triangle covers at least one-fourth of the paper. Mark the vertices with dots as shown in the example.
- Measure the three angles of the triangle with your protractor. Write the angle measures inside the triangle. Cut out the triangle.
- Tear off the three angles as shown in the example.
- Place the three angles next to each other with the vertices and edges touching each other as shown.
- Describe the angle that is formed when all three angles are placed together this way.
- Add the angle measures of each angle in your triangle. What is the sum of the three angles?
- Compare your results for Questions 6 and 7 with at least two other students' results. How do your results compare?