1.5 Ms. Verdino. Adjacent angles are two coplanar angles with a common side, a common vertex, and no common interior points. Vertical angles are two angles.

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Presentation transcript:

1.5 Ms. Verdino

Adjacent angles are two coplanar angles with a common side, a common vertex, 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.

 5 and  4 are supplementary angles.  1 and  4 are vertical angles.  4 and  3 are complementary.

 1 and  2 are _____________________  6 and  5 are _____________________  6 and  2 are _____________________

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

 KPL and  JPL are a linear pair, m  KPL = 2x+24, and m  JPL = 4x+36. What are the measures of  KPL and  JPL?

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

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

SQ bisects  RST. m  QST = 2x + 18 and m  RST = 6x − 2. What is m  RSQ?

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