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Exploring Special Angle Pairs: Complementary and Supplementary Angles

In this section, we delve into special pairs of angles, including complementary and supplementary angles. Complementary angles are defined as two angles whose measures add up to 90 degrees, while supplementary angles have a combined measure of 180 degrees. We will explore examples that illustrate these concepts, including how to find angle measures based on their relationships. Additionally, we discuss adjacent angles and linear pairs, emphasizing the Linear Pair Postulate, which states that two angles forming a linear pair are supplementary.

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Exploring Special Angle Pairs: Complementary and Supplementary Angles

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  1. Honors Geometry Section 1.3 part2Special Angle Pairs

  2. Let’s consider several special pairs of angles.

  3. Complementary angles are two angles whose measures have a sum of 90 degrees.Each angle is called a __________ of the other. complement

  4. Supplementary angles are two angles whose measures have a sum of 180 degrees.Each angle is called a ___________ of the other. supplement

  5. Example 1: Complete the chart.

  6. Example 3: The measure of an angle is 10 less than three times the measure of its complement. Find the measure of both angles.

  7. Two angles are adjacent if they have the same vertex and share a side in common.

  8. A linear pair is two angles which are adjacent and whose noncommon sides form a straight line.

  9. Postulate 1.3.5: Linear Pair PostulateIf two angles form a linear pair, then they are supplementary.

  10. Example 4: Name all angles that form a linear pair with .

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