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Which angle pairs are vertical? 1 2 4 1 & 3 1 & 2 2 & 3 3 & 4 3 If m⊾A=400, then what is m⊾C? A m⊾C= D B C If m⊾A=400, then what is m⊾B? A m⊾C= D B C m⊾1=65 1 3 4 2 m⊾2= m⊾3= m⊾3 = 133 2 3 1 4 m⊾1= m⊾2= m⊾4 = Vertical angles are formed when 2 lines intersect. They are always: adjacent opposite and congruent add up to 1800 add up to 900 Angles 1 & 2 are: 1 4 2 3 vertical adjacent & supplementary add up to 900 congruent m⊾1 = 750 1 2 4 3 m⊾2= m⊾3= Angles A & B are adjacent. What does adjacent mean? A D B C opposite interior next to exterior m⊾2= m⊾1= 2 1 3 4 vertical angles are congruent Key: m⊾2=m⊾4 m⊾4=3x+19 m⊾2=5x+9 -3x 5x+9 =3x+19 2x+9 2x 2 -9 x = 5 -3x 19 -9 10 2 1 4 2 3 key: m⊾1=m⊾3 m⊾1= 2x+15 m⊾3= 4x + 11 x = 2x+15=4x+11 1 4 2 3 m⊾1= m⊾3= key: m⊾1=m⊾3 m⊾1= 2x+15 m⊾3= 4x + 11 2x+15=4x+11 1 4 2 3 m⊾2= m⊾4= key: m⊾1=m⊾3 m⊾1= 2x+15 m⊾3= 4x + 11 2x+15=4x+11 1 4 2 3 m⊾2=3x+26 m⊾1=2x+14 Key:?????? Find x m⊾1= m⊾4= m⊾3= m⊾1= m⊾4= 1 2 3 4 m⊾1=x+17 m⊾4=2x+5 Key:??????? Find x m⊾2=m⊾3= 2 3 5 4 m⊾2= m⊾3= m⊾2=9x+7 m⊾4=5x+23 key:????? x= m⊾3= m⊾2= m⊾1= m⊾4= 2 4 3 1 m⊾3=x+15 m⊾1=x+5 CAREFUL!!!!! KEY:????? X= m⊾D= m⊾A= x= A C B D m⊾A=2x+15 m⊾D=x+40 m⊾B= m⊾C= Key:???????? m⊾2= m⊾1= m⊾4= m⊾3= 3 1 4 2 m⊾1=x+75 m⊾4=6x Were you thinking on that last problem? Careful on this one. m⊾1= 2 1 4 3 m⊾3=6x+13 m⊾4=4x+47 Key:?????? x= m⊾2= |