Maths-
General
Easy

Question

In the figure, stack A B with bar on top parallel to stack C D with bar on top Find the value of x .

  1. 70°    
  2. 140°    
  3. 80°    
  4. 160°    

hintHint:

extend lines CD and AE to intersect, use angle properties to find required angle

The correct answer is: 140°



    if we extend AE to down and CD to left side ,AE will act as transversal between CD and AB
    lets say AE and CD intersect at P
    angle E A B space equals 108 degree
angle E A B plus angle E P C space equals 180 degree space left parenthesis c o n t e r i o r space a n g l e s right parenthesis
108 degree space plus angle E P C equals 180 degree
angle E P C space space equals equals 72 degree
angle E C D equals 112 degree
angle E C P plus angle E C D space equals 180 degree space space space left parenthesis s t r a i g h t space a n g l e right parenthesis
angle E C P space equals 180 degree space minus 112 degree
angle E C P space equals 68 degree
I n space t r i a n g l e space E P C
angle C E A space equals space x degree
angle E C P plus angle E P C space equals angle C E A space space left parenthesis e x t e r i o r space a n g l e space p r o p e r t y right parenthesis
68 degree plus 72 degree equals x
x equals 140 degree

    exterior angle of a triangle is equals to sum of opposite interior angles

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