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1 Aim #56: How do we identify angles formed by intersecting lines? Do Now: Determine the value of all unknown angles 1) 2) 3) y 92 x y x ) 5) 1 43 o 2 3 B C F D E A 107 o If angle <BFD is 135, what is the measure of < AFB? If angle <CFB is 25, what is the measure of < BFA? If angle <BFA is 55, what is the measure of <DFE? 1

2 Pairs of Angles Complementary vs. Supplementary two angles whose sum is exactly 90 o two angles whose sum is exactly 180 o 70 o 45 o 135 o 20 o Vertical Angles angles that are opposite one another vertical angles are equal in measure 100 o 100 o 2

3 Angles Vocabulary perpendicular lines - two lines that intersect to form right angles parallel lines - lines that never intersect (meet) congruent - means equal adjacent - means next too 3

4 Mini Lesson 1) Determine if the pairs of angles are complementary, supplementary, vertical or neither and draw a picture that represents the angle pair. a) 121 o and 59 o b) 35 o and 35 o c) 18 o and 162 o d) 45 o and 45 o 2) Find the supplement of 13 o. 3) Find the complement of 56 o. *Draw a picture* *Draw a picture* 4

5 Mini Lesson 4) <A and <B are supplementary angles, and m <A = 118 o. Find the m <B. *Draw a picture* 5) <C and <D are complementary angles, and m <C = 43 o. Find the m <D. *Draw a picture* 6) If the m <1 = 97 o. Find the four missing angles

6 Mini Lesson 7) If <E and <F are vertical angles and m <E is 128 o degrees, then what is the m <F? 8) Use the diagram below to answer the following questions. 7 6 a) Which angle is congruent to <1? b) Which angle is supplementary to angle 2? c) if angle 4 is 50 and angle 6 is 95, what is angle 7? 6

7 1) Answer each question based on the diagram. Mini Lesson Assessment a) Name the angle that is complementary to <AGD. b) Name an angle that is adjacent to <DGF. c) Name a pair of vertical angles. d) Name an angle that is supplementary to <EGD. e) Name a pair of perpendicular lines. f) Name a right angle. g) Name an acute angle. h) Name an obtuse angle. 7

8 Mini Lesson Assessment 2) If the m< AGD = 68 o, find a) m< CGF = b) m < EGC = c) m< CGB = d) m< EGD = 3) If two angles are supplementary and one angle measures 58 degrees, then what is the measure of the other angle? 4) The measure of <X is 64. Find the measure of <Y, if <X and <Y are complements. 8

9 Partner Work 1) If two angles are complementary, the sum of the measures of the angles is. 2) If two angles are vertical, the angles are. 3) If two angles are supplementary, the sum of the measures of the angles is. 4) <A is supplementary to <B. If m <A = 112 o, what is the m <B? 5) <C and <D are vertical angles. If m <C is 42 o, what is the m <D? 9

10 Partner Work 6) <E is complementary to <F. If m <E is 56 o, what is the m <F? 7) Angles are that next to each other are called 8) Identify each pair of angles. Then, find each missing angle. 10

11 Partner Work 9) Determine if the following angels are obtuse, acute, straight or right. a) 63 o b) 121 o c) 90 o d) 180 o e) 89 o f) 18 o 10) <A is congruent to <B. If <A is 63 o, find the m <B. 11) <C and <D are vertical angles. If <C is 135 o, find the m <D. 11

12 Partner Work 12) Use the diagram below to answer the following questions. <AGB is a right angle and m <AGF is 25 o. a) Name an acute angle. b) Name an obtuse angle. c) Name a pair of vertical angles. d) Name a pair of adjacent angles. e) Name a straight angle. f) Name a right angle. 12

13 Exit Slip Identify each pair of angles. Then, determine the value of x in each diagram below. 13

14 Attachments PARALLEL LINES CUT BY A TRANSVERSAL.gsp HW 20.pdf

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