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Warmup

Warmup. Draw the following: Line AB Line segment BC Ray FG. Section 1.6: Measuring angles. LEQ: How do we classify angles?. An angle is the union of two rays that share a common endpoint. There are 4 ways to name an angle: CED DEC E 3. Acute angles h ave measures

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Warmup

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  1. Warmup Draw the following: Line AB Line segment BC Ray FG

  2. Section 1.6: Measuring angles LEQ: How do we classify angles?

  3. An angle is the union of two rays that share a common endpoint.

  4. There are 4 ways to name an angle: • CED • DEC • E • 3

  5. Acute angles have measures between 0 and 90 degrees

  6. Right angles have measures of exactly 90 degrees (indicated by a small square)

  7. Obtuse angles have measures between 90 and 180 degrees

  8. Straight Angle – an angle measuring 180 degrees

  9. Right angle Straight angle Acute angle Obtuse angle

  10. Congruent angles are angles of the same measure(indicated by identical markings)

  11. Postulate 1-8: Angle Addition Postulate • Similar to the ruler postulate, if point B is in the interior of AOC, then mCOB+mBOA=mCOA • (<AOC)

  12. Vertical angles are opposite congruent angles created by the intersection of two lines <1 and <3 are vertical angles <2 and <4 are vertical angles

  13. Why should m<1=m<3

  14. Adjacent angles are angles that share a common side, common vertex, and no common interior points. • <KIH and <KIJ are adjacent angles

  15. Complementary angles are two angles who’s measures sum to 90. • <TSU and <USV are complementary angles. • If m<TSU=42, what is m<USV? • <TSU is the complement of <USV

  16. Supplementary angles are two angles who’s measures sum to 180. • <TSU and <USV are supplementary angles. • <TSU is the supplement of <USV. • If m<TSU=120, what is m<USV?

  17. Ex. 1 • Use the adjacent angles below to solve the following: m<HOK = 4x-6, m <KOB=6x+2, find x and m<HOK.

  18. How do we measure angles? • Line up the bottom of the protractor with a side of the angle and center of angle with center of protractor. Extend the line of the other side and read the degree.

  19. Hwk: p.40-41, 1-8,15,17,19,24-32 odds,43,45

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