Everything typed in RED or BLUE, you need to add to your notes. When you complete your notes, you should start the bookwork.

 Angle – consists of 2 different rays that have the same endpoint.  Example: Name three angles in the figure:  ∠EHS, ∠EHT, ∠THS, ∠SHE, ∠THE, ∠SHT  They can be in any order so long as the vertex is the middle letter Why is ∠H not a good name for this angle? We wouldn’t know which of the 3 angles the H is referring to

 An angle is measured in units called degrees.  Classifying Angles AngleDefinitionExample AcuteMeasure greater than 0° but less than 90° right90° angle ObtuseMeasures greater 90° but less than 180° StraightFormed by two opposite rays and measures 180°

 Angle Bisector – a ray that divides an angle into two angles that have the same measure.  m∠BCD = m∠DCA  Angle Addition Postulate – If P is in the interior of  RST, then m  RSP + m  PST = m  RST

EX 1. The m ∠ RQS = 37 o and the m ∠ RQP = 84 o. Find the m ∠ SQP. m ∠ RQS + m ∠ SQP = m ∠ RQP by Angle Addition Postulate 37° + m ∠ SQP = 84 o m ∠ SQP = 47 °

 m ∠ HJK + m ∠ KJL = m ∠ HJL  (13x + 20) + (10x + 27) = 116°m ∠ HJK = 13x+20  13x + 10x = 116° m ∠ HJK = 13(3) + 20  23x + 47 = 116° m∠HJK = 59°  23x = 69°  x = 3 EX 2. Find m ∠ HJK if m ∠ HJL = 116 0

EX 3. If BD bisects ∠ ABC then: _m ∠ ABD_ = __m ∠ DBC_ and m ∠ ABD + m ∠ DBC = m ∠ ABC

 If SP bisects ∠RST, then m∠RSP = m∠PST. ◦ 3x -2 = 9x -26 ◦ 24 = 6x ◦ 4 = x ◦ m∠RSP = 3x – 2 m∠PST = 9x – 26 ◦ = 3(4) – 2 = 9(4) – 26 ◦ = 12 – 2 = 36 – 26 ◦ = 10 = 10 ◦ m∠RSP + m∠PST = m∠RST  = 20° S RP T

EX 5. BD bisects ∠ ABC. If m ∠ ABC = 4x + 5 and m ∠ ABD= 3x – 1, then find the m ∠ ABD and m ∠ ABC. Since BD bisects ∠ ABC, m ∠ ABD_ = __m ∠ DBC_ And m ∠ ABD + m ∠ DBC = m ∠ ABC SO… m ∠ ABD + m ∠ ABD = m ∠ ABC (3x – 1) + (3x -1 ) = 4x + 5 6x – 2 = 4x + 5 2x = 7 x = 3.5 m∠ABD = 3x -1 = 3(3.5) – 1 = = 9.5 m∠ABC = 4x + 5 = 4(3.5) + 5 = = 19

 After you complete filling in your notes, you should begin the classwork. It is: Module 1, lesson 2 in the EVALUATE section #’s: 4, 5, 7, 15, 2. TURN IN WHAT YOU COMPLETE BEFORE YOU LEAVE CLASS OR YOU WILL GET A ZERO.  DO NOT turn in any homework today. I will check last night’s and tonight’s homework on Monday. Complete the 3 problems from last night’s worksheet that we omitted yesterday.  THUS on MONDAY, you should have ready for me to check a completed 1.1 & 1.2 Worksheet (from Thursday – all problems done) and a completed 1.2 Worksheet (from Today). Both can be found on the course website if you lost yours.