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Pre-AP Bellwork

Pre-AP Bellwork. 6) Claire draws an angle that measures 56. Justin draws a congruent angle. Justin says his angle is obtuse. Is he correct? Why or why not?. Pre-AP Bellwork. 7) ∠MLN and ∠JLK are complementary, m∠MLN = 7x − 1, and m∠JLK = 4x + 3. a. Solve for x. b. Find m∠MLN and m∠JKL.

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Pre-AP Bellwork

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  1. Pre-AP Bellwork 6) Claire draws an angle that measures 56. Justin draws a congruent angle. Justin says his angle is obtuse. Is he correct? Why or why not?

  2. Pre-AP Bellwork 7) ∠MLN and ∠JLK are complementary, m∠MLN = 7x − 1, and m∠JLK = 4x + 3. a. Solve for x. b. Find m∠MLN and m∠JKL. c. Show how you can check your answer.

  3. Pre-AP Bellwork 8)Describe all the situations in which the following statements are true. a. Two vertical angles are also complementary. b. A linear pair is also supplementary. c. Two supplementary angles are also a linear pair. d. Two vertical angles are also a linear pair.

  4. Pre-AP Bellwork Find the measure of each angle in the angle pair described. 9) The measure of one angle is 5 times the measure of its complement. 10) The measure of an angle is 30 less than twice its supplement.

  5. 1-5 Exploring Angle Pairs

  6. Adjacent angles- two coplanar angles with a common side, a common vertex, and no common interior points

  7. Which angles are adjacent?  1&  2,  2&  3,  3&  4,  4&  1 Then what do we call  1&  3? Vertical Angles – 2 angles that share a common vertex & whose sides form 2 pairs of opposite rays.  1&  3,  2&  4 2 1 3 4

  8. Linear Pair (of angles) • 2 adjacent angles whose non-common sides are opposite rays. 1 2

  9. Example 2 • Vertical angles? 1 &  4 • Adjacent angles?  1&  2,  2&  3,  3&  4, 4&  5,  5&  1 • Linear pair?  5&  4,  1&  5 • Adjacent angles not a linear pair?  1&  2, 2&  3,  3&  4 1 3 5 4

  10. Important Facts • Vertical Angles are congruent. • The sum of the measures of the angles in a linear pair is 180o.

  11. Example: • If m  5=130o, find m  3 m  6 m  4 4 =130o =50o =50o 5 3 6

  12. A Example: E 3x+5o y+20o B x+15o 4y-15o D • Find x,y m  ABE m  ABD m  DBC m  EBC C x=40 y=35 mABE=125o m  ABD=55o m  DBC=125o m  EBC=55o

  13. Complementary Angles • 2 angles whose sum is 90o 35o 1 2 55o A  1 &  2 are complementary  A &  B are complementary B

  14. Supplementary Angles • 2 angles whose sum is 180o  1 &  2 are supplementary.  X &  Y are supplementary. 1 2 130o 50o X Y

  15. Ex:  A &  B are supplementary. m  A is 5 times m  B. Find m  A & m  B. m  A + m  B = 180o m  A = 5(m  B) Now substitute! 5(m  B) + m  B = 180o 6(m  B)=180o m  B=30o m  A=150o

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