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Sketching Supplementary Angles: Creating 75° and Finding the Missing Angle

In this lesson, we explore how to sketch supplementary angles with an example angle of 75°. Begin by identifying the common vertex and drawing the first ray at 75°. Using a protractor, determine the measure of the second angle, ensuring the total measures 180°. This practical exercise highlights the properties of supplementary angles and the importance of precise construction when drawing angles, enabling students to visualize and solve for missing angles using a protractor effectively.

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Sketching Supplementary Angles: Creating 75° and Finding the Missing Angle

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  1. 4-4 Example 3 Lesson 4-4 Example 3 Sketch supplementary angles when one angle’s measure is 75°. 1. Use the center point on the protractor as the common vertex of the supplementary angles.

  2. 4-4 Example 3 Lesson 4-4 Example 3 Sketch supplementary angles when one angle’s measure is 75°. 2. Draw one side of the angle and place an arrow at the end of the ray.

  3. 4-4 Example 3 Lesson 4-4 Example 3 Sketch supplementary angles when one angle’s measure is 75°. 3. The sum of supplementary angles equals 180°. Find the angle on the protractor’s scale and make a dot. Use a straightedge to draw a second ray that connects at the vertex.

  4. 4-4 Example 3 Lesson 4-4 Example 3 Sketch supplementary angles when one angle’s measure is 75°. 4. Find the given angle, 75°, inside the 180° angle and make a dot. Use a straightedge to draw the ray that connects the vertex and the dot at 75° from either of the two existing rays.

  5. 4-4 Example 3 Lesson 4-4 Example 3 Sketch supplementary angles when one angle’s measure is 75°. 5. Find the missing angle by using the protractor’s scale. The supplementary angle is 105°.

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