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Geometry Section 1.6 Special Angle Pairs. Two angles are adjacent angles if Two angles are vertical angles if.

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Presentation on theme: "Geometry Section 1.6 Special Angle Pairs. Two angles are adjacent angles if Two angles are vertical angles if."— Presentation transcript:

1 Geometry Section 1.6 Special Angle Pairs

2 Two angles are adjacent angles if Two angles are vertical angles if

3 While a postulate is a theorem is a

4 Theorem 2.6: Vertical Angle Theorem:

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

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

7 Example 1: Complete the chart.

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

10 A linear pair is two angles which share a side in common and whose noncommon sides form a straight line.

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

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

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