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Find the value of x. m<1=7x-3 and m<2=5x+9 x=_____ m<1=_____ m<2=_____ 13. Find the value of x. m<3=8x+7...

12. Find the value of x. m<1=7x-3 and m<2=5x+9
x=_____
m<1=_____
m<2=_____
13. Find the value of x. m<3=8x+7 and m<4=12x-9
x=_____
m<3=_____
m<4=_____

Answer

  1. 12. To find the value of x, set m<1 equal to m<2 because they are vertical angles:
    7x - 3 = 5x + 9
    2x = 12
    x = 6
    m<1 = 7(6) - 3 = 42 - 3 = 39
    m<2 = 5(6) + 9 = 30 + 9 = 39

  2. 13. To find the value of x, set m<3 equal to m<4 because they are vertical angles:
    8x + 7 = 12x - 9
    4x = 16
    x = 4
    m<3 = 8(4) + 7 = 32 + 7 = 39
    m<4 = 12(4) - 9 = 48 - 9 = 39

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