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Exploring Angle Pairs

1.5 Ms. Verdino. Exploring Angle Pairs. Types of angle pairs. 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.

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Exploring Angle Pairs

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  1. 1.5 Ms. Verdino Exploring Angle Pairs

  2. Types of angle pairs 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. Identifying angle pairs 5 and 4 are supplementary angles. 1 and 4 are vertical angles. 4 and 3are complementary.

  4. Your Turn! 1 and 2 are _____________________ 6 and 5 are _____________________ 6 and 2 are _____________________

  5. Making conclusions from a diagram

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

  7. Finding missing angles using the linear pair postulate 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. Your turn! 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. Angle bisectors An angle bisector is a ray that divides an angle into two congruent angles.

  10. Using an angle bisector to find angle measurements SQ bisects RST. mQST= 2x + 18 and mRST = 6x − 2. What is mRSQ?

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

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