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Week 3. Warm Up. 08.30.11. 1) What is the distance between the points?. 2) What is the midpoint?. ( 0, 5 ) and ( 14, 1 ). 43) m ∡A = 22.5, m ∡B = 67.5. 37) supp. Homework. 44) m ∡A = 20, m ∡B = 160. 45) m ∡A = 73, m ∡B = 17. 38) neither.

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## Warm Up

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**Week 3**Warm Up 08.30.11 1) What is the distance between the points? 2) What is the midpoint? ( 0, 5 ) and ( 14, 1 )**43) m∡A = 22.5, m∡B = 67.5**37) supp Homework 44) m∡A = 20, m∡B = 160 45) m∡A = 73, m∡B = 17 38) neither 46) m∡A = 14, m∡B = 76 47) m∡A = 89, m∡B = 1 39) comp 48) m∡A = 11, m∡B = 79 40) neither 49) m∡A = 129, m∡B = 51 51) m∡A = 157, m∡B = 23 52) m∡A = 77, m∡B = 103 53) m∡A = 122, m∡B = 56 41) 42)**Perpendicular Angles**If one angle is 90º then all four angles from two lines are 90º.**Perpendicular Angles**If one angle is 90º then all four angles from two lines are 90º.**A**E B F D C What is the measure of ∠CFE? Ex 1 (11x – 1)º (3x – 7)º complementary m∠DFE + m∠EFA =90º 3x – 7 + 11x - 1 = 90º 14x - 8 = 90 14x = 90 + 8 14x = 98 x = 7**A**E B F D C What is the measure of ∠CFE? Ex 1 (11x – 1)º (3x – 7)º complementary m∠DFE + m∠EFA =90º 3x – 7 + 11x - 1 = 90º 14x - 8 = 90 14x = 90 + 8 14x = 98 x = 7**A**E B F D C What is the measure of ∠CFE? Ex 1 (11x – 1)º (3x – 7)º x = 7 90º m∠DFE = 3x - 7 = 3( 7 ) - 7 = 21 - 7 m∠DFE = 14º m∠CFD + m∠DFE =m∠CFE 90º+ 14º = m∠CFE 104º = m∠CFE**A**B C D E What is the measure of ∠AEB? Ex 2 (4x – 15)º x + 20º m∠AED and m∠DEC are linear pairs m∠AED + m∠DEC =180º 4x - 15 + x + 20 = 180º 5x + 5 = 180 5x = 180 - 5 5x = 175 x = 35**A**B C D E What is the measure of ∠AEB? Ex 2 (4x – 15)º x + 20º m∠AED and m∠DEC are linear pairs m∠AED + m∠DEC =180º 4x - 15 + x + 20 = 180º 5x + 5 = 180 5x = 180 - 5 5x = 175 x = 35**A**B C D E What is the measure of ∠AEB? Ex 2 (4x – 15)º x + 20º x = 35 m∠DEC = x + 20 m∠DEC =35 + 20 m∠DEC =55º ∠DEC and ∠AEB are vertical angles m∠DEC = m∠AEB 55º = m∠AEB**Review**Supplementary angles and ____ ____ add up to ____º. Do: 2 What is the measure of ∠BAF? D E (x + 12)º C (3x + 2)º A F G B Handout Section 1.6 Day 3 Assignment:

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