Warm Up Solve. x = 14 x = 9 x = 2
Lesson 3.1 Symbols Naming an Angle & Segment Vertical Angles Linear Pair Complementary Angles Supplementary Angles Angle Bisectors
Symbols to Know
Name this angle 4 different ways. CAT T C 2 TAC A 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? THM M A T H 3 4
Name the angle 4 ways. LMN NML M 7
How do you name the red side?
Linear Pair Two angles that are side-by-side, share a common vertex, share a common ray, & create a straight line. 62 x Solve for x. Equation: ____ + ____ = 180 118
Solve for x. x x + 104 x = 38
Two angles that add up to 180. Supplementary Angles Two angles that add up to 180. Equation: ____ + ____ = 180 82 x Solve for x if the following 2 angles are supplementary. 98
Solve for x. x = 23
13 and 14 are supplementary angles m13 = 47. Find m14. x = 133
One angle is 67 and the other is 113. One of two supplementary angles is 46 degrees more than its supplement. Find the measure of both angles. 1st Angle: 2nd Angle: x = 67 One angle is 67 and the other is 113.
Two angles that add up to 90. Complementary Angles Two angles that add up to 90. Equation: ____ + ____ = 90 14 76 x Solve for x if the following 2 angles are complementary.
Solve for x. 2x + 23 x + 13 x = 18
One angle is 53 and the other is 37. One of two complementary angles is 16 degrees less than its complement. Find the measure of both angles. 1st Angle: 2nd Angle: 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: ______ = ______ 76 x Solve for x. 76
Solve for x. 40° x = 100
Solve for x. (3x + 23)° (4x + 18)° x = 5
Cuts an angle in to TWO congruent angles Angle Bisector Cuts an angle in to TWO congruent angles Solve for x. 2x + 40 5x + 16 x = 8
Textbook p. 20 #41 – 43 p. 63 #20 – 22, 30 p. 72 #15 & 16