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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 on theme: "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."— Presentation transcript:

1 1.5 Ms. Verdino

2 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.

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

4  1 and  2 are _____________________  6 and  5 are _____________________  6 and  2 are _____________________

5

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

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

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

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

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

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


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