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Transcript
Solve. Warm Up 1. 8x 8 6x 20 x = 14 2 x28 3 x=9 2. 3. 11x 21 17 8x x=2 Lesson 3.1 • Symbols • Naming an Angle & Segment • Vertical Angles • Linear Pair • Complementary Angles • Supplementary Angles • Angle Bisectors Symbols to Know Angle Degree Right Angle Perpendicular Segment AB AB Ray CD CD Line EF EF Measure m Name this angle 4 different ways. C 2 A T CAT TAC A 2 Name the ways can you name 3? MHA and AHM Name the ways can you name 4? AHT and THA Name the ways can you name MHT? M A T H 3 4 THM Name the angle 4 ways. LMN NML M 7 How do you name the red side? M A H T MA AM Angle Bisector Cuts an angle in to TWO congruent angles Solve for x. 2x + 40 5x + 16 x = 8 Linear Pair Two angles that are side-by-side, share a common vertex, share a common ray, & create a straight line. Solve for x. x 62 118 Equation: ____ + ____ = 180 Solve for x. x x + 104 x x 104 180 x = 38 Supplementary Angles Two angles that add up to 180. Equation: ____ + ____ = 180 98 x 82 Solve for x if the following 2 angles are supplementary. Solve for x. 3 x 1 5 x 5 180 x = 23 13 and 14 are supplementary angles m13 = 47. Find m14. 47 x 180 x = 133 One of two supplementary angles is 46 degrees more than its supplement. Find the measure of both angles. 1st Angle: x 2nd Angle: x 46 x x 46 180 x = 67 One angle is 67 and the other is 113. Complementary Angles Two angles that add up to 90. Equation: ____ + ____ = 90 14 x 76 Solve for x if the following 2 angles are complementary. Solve for x. 2 x 23 x 13 90 2x + 23 x + 13 x = 18 One of two complementary angles is 16 degrees less than its complement. Find the measure of both angles. 1st Angle: 2nd Angle: x x 16 x x 16 90 x = 53 One angle is 53 and the other is 37. Vertical Angles Two angles that share a common vertex and their sides form two pairs of opposite rays. Equation: Solve for x. ______ = ______ 76 x 76 Solve for x. 2 x 40 5 40° 2 x 5 x = 100 Solve for x. (3x + 23)° (4x + 18)° 3 x 23 4 x 18 x = 5
