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Complementary Angles and Supplementary Angles

Complementary Angles and Supplementary Angles. M.G. 2.1 Identify angles as adjacent, vertical, complementary and supplementary.

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Complementary Angles and Supplementary Angles

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  1. Complementary Angles and Supplementary Angles M.G. 2.1 Identify angles as adjacent, vertical, complementary and supplementary. Objective-- Students will identify angles as complementary and supplementary and solve problems with an unknown angle from given information about them by finding a missing angle and scoring an 80% proficiency on an exit slip.

  2. Quick Check! • On your whiteboards, show me what a pair of complementary • angles look like and how many degrees they measure. 2) Now, show me on your whiteboards, what a pair of Supplementary angles look like and how many degrees they measure.

  3. Supplementaryangles add up to 180º. 40º 120º 60º 140º Adjacent and Supplementary Angles Supplementary Anglesbut not Adjacent

  4. Complementaryangles add up to 90º. 30º 40º 50º 60º Adjacent and Complementary Angles Complementary Anglesbut not Adjacent

  5. Remember our Objective… Students will identify angles as complementary and supplementary and solve problems with an unknown angle from given information about them by finding a missing angle and scoring an 80% proficiency on an exit slip.

  6. Supplementary Angles Remember: Two angles are supplementary if the sum of their measures is 180 degrees. Each angle is the supplement of the other. 1 2 These are supplements of each other because their angles add up to 180.

  7. 3 STEPS for Finding Missing Angles: • First, create an addition equation by adding both angles. • The sum of the two angles will equal • 90° for Complementary Angles and • 180° for Supplementary Angles. • 3) Solve the equation using the inverse rules!

  8. Think…Pair… Share… How are angles part of our outside world? If there were no angles, how do you think our world would be different? What other subjects can you make connections with that also use Angles?

  9. Example 1 Find the value of x by making an equation.

  10. Example 2 Find the value of x by writing your equation.

  11. Complementary Angles Two angles are complementary if the sum of their measures is 90 degrees. Each angle is the complement of the other. 1 2 These are complements of each other because their angles add up to be 90.

  12. Example 3 Find the value of x.

  13. Now, think of what we talked about today. 1 5 2 4 3 no Are angles 4 and 5 supplementary angles? no Are angles 2 and 3 complementary angles? Are angles 4 and 3 supplementary angles? yes Are angles 2 and 1 complementary angles? yes

  14. FOLDABLE ON ANGLES: Examples Examples Measures less than 90 degrees Measures exactly 90 degrees Examples Examples Measures exactly 180 degrees Measures more than 90 degrees and less than 180 degrees. Examples Vertical Angles are the angles opposite each other when two lines cross Two angles that share a same side and same vertex Examples Examples Two angles whose sum is equal to 90 degrees Two angles whose sum is equal to 180 Degrees.

  15. Example 4 Find the value of x.

  16. Example 5 Find the value of x.

  17. Think back to last class… 1 5 2 4 3 no Are angles 1 and 2 a linear pair? no Are angles 1 and 3 adjacent angles? yes Are angles 3 and 4 a linear pair? Are angles 2 and 3 adjacent angles? yes

  18. Let's practice. Exit Slip! Remember…Students will identify angles as complementary and supplementary and solve problems with an unknown angle from given information about them by finding a missing angle and scoring an 80% proficiency on an exit slip.

  19. Figure 1find the missing angles you may use a protractor to draw it! T X Q R V S Z Y S

  20. Figure 2: find the missing angles you may use a protractor to draw it! E A B w z x y G C F D

  21. Figure 3 P N Q X - 25° R M P- 45° L

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