Question 12 25 pts Solve the following proof, you can type in your answer below or your can work it out on paper and upload the image of the solved proof. Please note, I have to grade this myself, so this problem will not be a part of your exam grade until I grade it later in the week. You must include what operation you are using to derive each line and include which lines you are using to derive each line. Use conditional proof to solve the following: 1. S \supset (B \supset T) 2. N \supset (T \supset \sim B) / (S \cdot N) \supset \sim B
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Homework: Lesson 1.5 Exploring Angle Pairs Pg. 38 #8 - 26 even Practice and Problem-Solving Exercises Use the diagram at the right. Is each statement true? Explain. 7. ∠1 and ∠5 are adjacent angles. 8. ∠3 and ∠5 are vertical angles. 9. ∠3 and ∠4 are complementary. 10. ∠1 and ∠2 are supplementary. Name an angle or angles in the diagram described by each of the following. 11. supplementary to ∠AOD 12. adjacent and congruent to ∠AOE 13. supplementary to ∠EOA 14. complementary to ∠EOD 15. a pair of vertical angles For Exercises 16–23, can you make each conclusion from the information in the diagram? Explain. 16. ∠J ≅ ∠D 17. ∠JAC ≅ ∠DAC 18. m∠JCA = m∠DCA 19. m∠JCA + m∠ACD = 180 20. AJ ≅ AD 21. C is the midpoint of JD. 22. ∠JAE and ∠EAF are adjacent and supplementary. 23. ∠EAF and ∠JAD are vertical angles. 24. Name two pairs of angles that form a linear pair in the diagram at the right. 25. ∠EFG and ∠GFH are a linear pair, m∠EFG = 2n + 21, and m∠GFH = 4n + 15. What are m∠EFG and m∠GFH? 26. Algebra In the diagram, GH bisects ∠FGI. a. Solve for x and find m∠FGH. b. Find m∠HGI. c. Find m∠FGI.
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Unit: Angle Relationships Review Name Date Pd ANGLE RELATIONSHIPS STUDY GUIDE Solve each of the problems below. Be sure to ask questions if you need more help with a topic. I CAN IDENTIFY ANGLE RELATIONSHIPS WHEN PARALLEL LINES ARE CUT BY TRANSVERSALS. 8.8D Lines X and Y are parallel lines cut by transversal, A. Identify the type of angle relationship (corresponding, vertical, alternate interior, or alternate exterior) shown in the following pairs of angles. 1. Angle 1 and Angle 8 2. Angle 6 and Angle 7 3. Angle 8 and Angle 4 4. Angle 3 and Angle 6 5. Angle 1 and Angle 5 Using the picture above, identify whether the following pairs of angles are "congruent" or "supplementary". 6. Angle 1 and Angle 5 7. Angle 4 and Angle 5 8. Angle 3 and Angle 5 I CAN FIND MISSING ANGLES WHEN PARALLEL LINES ARE CUT BY TRANSVERSALS. 8.8D 9. Line P is parallel to Line Q. Find the m∠7 if the m∠2 = 75°. 10. Line R is parallel to Line S. Find the m∠8 if the m∠6 = 56°. 11. Line T is parallel to Line V. Find the m∠3 if the m∠5 = 119°.
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