1.5. Angle Pairs http://www.ck12.org
(^6) PSQand (^6) QSRare adjacent.
(^6) PQRand (^6) PQSare NOT adjacent because they overlap.
Linear Pair:Two angles that are adjacent and whose non-common sides form a straight line.
(^6) PSQand (^6) QSRare a linear pair.
m^6 PSR= 180 ◦
m^6 PSQ+m^6 QSR=m^6 PSR
m^6 PSQ+m^6 QSR= 180 ◦
Linear Pair Postulate:If two angles are a linear pair, then they are supplementary.
Example 5:Algebra ConnectionWhat is the value of each angle?
Solution:These two angles are a linear pair, so they are supplementary, or add up to 180◦. Write an equation.
( 7 q− 46 )◦+( 3 q+ 6 )◦= 180 ◦
10 q− 40 ◦= 180 ◦
10 q= 220 ◦
q= 22 ◦