1 5 Ms Verdino EXPLORING ANGLE PAIRS TYPES

TYPES OF ANGLE PAIRS Adjacent angles are two coplanar angles with a common side,

IDENTIFYING ANGLE PAIRS 5 and 4 are supplementary angles. 1 and 4 are vertical

YOUR TURN! 1 and 2 are ___________ 6 and 5 are ___________ 6 and

LINEAR PAIR POSTULATE If two angles form a linear pair, then they are supplementary.

FINDING MISSING ANGLES USING THE LINEAR PAIR POSTULATE KPL and JPL are a linear

YOUR TURN! ABC and DBC are a linear pair, m ABC = 3 x+19,

ANGLE BISECTORS An angle bisector is a ray that divides an angle into two

USING AN ANGLE BISECTOR TO FIND ANGLE MEASUREMENTS SQ bisects RST. m QST =

YOUR TURN! PB bisects RPT so that m RPB = x+2 and m TPB

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1. 5 Ms. Verdino EXPLORING ANGLE PAIRS

TYPES OF ANGLE PAIRS Adjacent angles are two coplanar angles with a common side, a common vert and no common interior points. Vertical angles are two angles whose sides are opposite rays. Complementary angles are two angles whose measures have a sum of 90. Supplementary angles are two angles whose measures have a sum of 180.

IDENTIFYING ANGLE PAIRS 5 and 4 are supplementary angles. 1 and 4 are vertical angles. 4 and 3 are complementary.

YOUR TURN! 1 and 2 are ___________ 6 and 5 are ___________ 6 and 2 are ___________

MAKING CONCLUSIONS FROM A DIAGRAM

LINEAR PAIR POSTULATE If two angles form a linear pair, then they are supplementary.

FINDING MISSING ANGLES USING THE LINEAR PAIR POSTULATE KPL and JPL are a linear pair, m KPL = 2 x+24, and m JPL = 4 x+36. What are the measures of KPL and JPL?

YOUR TURN! ABC and DBC are a linear pair, m ABC = 3 x+19, and m DBC = 7 x-9. What are the measures of ABC and DBC?

ANGLE BISECTORS An angle bisector is a ray that divides an angle into two congruent angles

USING AN ANGLE BISECTOR TO FIND ANGLE MEASUREMENTS SQ bisects RST. m QST = 2 x + 18 and m RST = 6 x − 2. What is m RS

YOUR TURN! PB bisects RPT so that m RPB = x+2 and m TPB = 2 x-6. What is m RPT