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In the figure, find the value of x for w...

In the figure, find the value of x for which the lines `l` and `m` are parallel.

Text Solution

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In the given figure,l`|"|` m and we know that, it a transveral intersects two parallel lines, then sum of interior angles on the same side of a transversal is supplementary .
`:. " " x + 44^(@) = 180^(@)`
`rArr " " x = 180^(@)- 44^(@)`
`rArr " " x = 136^(@)`
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Knowledge Check

  • Find the x value for which l is parallel to m.

    A
    6
    B
    16
    C
    20
    D
    24

  • In the figure above, lines l and m are parallel and lines s and t are parallel. If the measure of angle1 is 35^(@) , what is the measure of angle2 ?

    A
    `35^(@)`
    B
    `55^(@)`
    C
    `70^(@)`
    D
    `145^(@)`

  • In the adjoining figure, if l||m then the value of x is

    A
    `x= 75^(@)`
    B
    `x= 95^(@)`
    C
    `x= 105^(@)`
    D
    `x= 115^(@)`

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