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Session 9 Warm-up 1. Name all the angles having point N as their vertex. Don’t name the same angle twice.MNP, MNL, LNP 2. MNL appears to be what type of angle? acute L M P N 3. MNP appears to be what type of angle? obtuse 4. The m A is 100. Solve for x. 30 3x +10 A * Notes on Angle Addition, Adjacent Angles, and Linear Pairs of Angles * Practice Workbook 3-3 and 3-4 * Work * Quiz next class (3.1 – 3.4) (study p.114 Quiz 1) Tues/Wed Quiz & 3.5 Thurs/Fri 3.6 & 3.7 Mon/Tues Review Ch 3 Wed/Thurs TEST CH 3 & 4.1 mRST mTSP mRSP Why can’t you name any of the angles S? T R S P Example 1 Find m1 if mRSP 78. m1 + 48 = 78 R 1 T 48 S P m1 = 30 Example 2 M N 42 2 Find m2 if mYJK 160. m2 + 42 + 104 = 160 104 J Y K m2 + 146 = 160 m2 = 14 Example 3 Find x if mALY 71. 2 x (5x 8) 71 A U 2x (5x 8) L Y 7 x + 8 = 71 7x = 63 x = 9 Example 4 Angle Bisector cuts the angle into 2 equal parts. If FD bisects CFE and mCFE 70, find m1 and m2. C D 1 F 2 E 70 2 35 B A 1 F C D E L G 3 K H I J A 1 2 B 3 C Two angles are adjacent if they share a common vertex and side, but have no common interior points. SIDE BY SIDE…shoulder to shoulder. NO YES Two adjacent angles are a linear pair if their noncommon sides are opposite rays. They form a straight line… SIDE BY SIDE…shoulder to shoulder. 1 2 Please Identify in your notes all LINEAR PAIRS i m k e j h f g SOME POSSIBLE ANSWERS i m k e j h f g MORE POSSIBLE ANSWERS i m e k j h f g 1. Determine whether each statement is true or false. 1 2 1 and 2 form a linear pair. 2. 4 5 4 and 5 form a linear pair. 3. 6 3 6 and 3 are adjacent angles. 4. C 8 7 A T 7 and 8 are adjacent angles. 5. C 8 7 A T CAT and 7 are adjacent angles. Let’s Practice Practice Workbook 3-4 B A C G D F E Work p. 108 11-23 and p. 113 8-18, 20-27