Honors Geometry Section 1.3 part2 Special Angle Pairs.

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Presentation transcript:

Honors Geometry Section 1.3 part2 Special Angle Pairs

Let’s consider several special pairs of angles.

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

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

Example 1: Complete the chart.

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

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

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

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

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