Find the value of x?

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  • 1 month ago
    Favourite answer

    Angle CBF = 81° = Vertically opposite angle ABD

    Since PQ and CD are parallel to each other, 

    Angles  QAB and ABD are co-interior angles. Hence --

    QAB + ABD  =  180°

    =>  (5 x + 9)  +  81°  =  180°

    =>  5 x + 90°  =  180°

    =>  5 x  =  90°

    =>  x  =  18  ....................................... Answer 

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  • 4 weeks ago

    x = do your own homework

  • David
    Lv 7
    1 month ago

    The value of x = 18 degrees because alternate angles are equal and there are 180 degrees on a straight line

  • 1 month ago

    (5x+9)+y=180 (Angle on a straight line)  

    but y=81 (supplementary angles are equal)   Thus (5x+9) + 81 = 180.    Remove brackets: 5x + 9 + 81 = 180. Collecting like terms, 5x=180-9-81.  Thus, 5x=180-90.   5x=90.  x=90/5.  x=18

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  • 1 month ago

    (5x + 9) + 81 = 180

    5x + 90 = 180

    5x = 90

    x = 18Thus, the value of x would be equal to 18 degrees.

  • 1 month ago

    5x+9+81=180

    =>

    5x=180-9-81

    =>

    5x=90*

    =>

    x=18*

  • 1 month ago

    (5x + 9) + 81 = 180

    x = 18

  • rotchm
    Lv 7
    1 month ago

    Therefore, the obtuse angle to the right of the 81 is (180 - 81) = 99. [why?].

    Now, this 99 is the same figure, same angle as the 5x+9.  [why?]

    Thus, 99 = 5x+9.

    Just solve for x. You know how to do that?

    Done!

    Hopefully no one will spoil you the answer thereby depriving you from your personal enhancement; that would be very inconsiderate of them. 

  • Robert
    Lv 7
    1 month ago

    a and b are parallel lines,

    so (5x + 9) + 81 = 180

    You can take it from there.

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