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Honors Geometry Section 1.3 part2 Special Angle Pairs.

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Presentation on theme: "Honors Geometry Section 1.3 part2 Special Angle Pairs."— Presentation transcript:

1 Honors Geometry Section 1.3 part2 Special 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.

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

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

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

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

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

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