MathematicsIf l||m,   then the value of x   in the following figure is ____ °  .

If l||m,   then the value of x   in the following figure is ____ °  .


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    Solution:

    If l||m,   then the value of x   in the following figure is 70 ° .  
    Given that l||m and t is the transversal.
    Using the vertically opposite angles property, we have,
    HGB=AGE=110°.
    Let HGB=y.
    Therefore,
      y= 110 ° .   Since l||m   and t is the transversal, then angles on the same side of a transversal is supplementary.
    x+y= 180 °  
    x+110 ° =180 °   x= 180 ° 110 ° = 70 °  
    Thus the required angle is x= 70 ° .  
     
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