07.	+Linear+Pair+Property

07. Linear Pair Property

A Linear pair is a set of two adjacent angles that form a straight line. Linear pairs have a useful property that can be useful in determining the measure of an angle. In this section we will explain what a linear pair is and how it can be useful. **
 * Introduction

Because they lie along the same line, the sum of the measures of these angles of a linear pair will always be 180**°. In this example, and  form a linear pair. **
 * Explanation**

The linear pair property can be useful in determining the measure of an angle, when one angle measure is already given. For example, if = 150**°, the measure of it’s linear pair, , must equal 30  **°  in order for the pair to add up to 180**°. Therefore, the measure of a missing angle in a linear pair can be determined by subtracting the known angle measure from 180 **°. For example if = 150**°, then  can be found by subtracting 180  **° – 150**° to equal 30<span style="font-family: sans-serif,helvetica,sans-serif;">  **°<span style="font-family: arial,helvetica,sans-serif; font-weight: normal;">.

In addition, if one angle of a linear pair is acute, the other must be obtuse (or vice versa) in order for the angles to add up to 180<span style="font-family: sans-serif,helvetica,sans-serif;">**°<span style="font-family: arial,helvetica,sans-serif; font-weight: normal;">. **







[|linear pair activity]

[|definition of a linear pair]

[|angles forming linear pairs]