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General
Easy

Question

In the figure, AB is parallel to CD , then x =

  1. 90°    
  2. 70°    
  3. 60°    
  4. 80°    

hintHint:

In this question, we have to find the value of x using the figure given. For that first we will draw a line parallel to both line passing through the intersecting point of the transversal. Later using the angle properties of parallel line we can find the required value of x.

The correct answer is: 70°



    Drawn a line parallel AB and CD passing through O.
    As AB II OE and AO is a transversal
    So, angleOAB + angleAOE = 180degree
    rightwards double arrowangleAOEdegree + 140degree = 180degree
    rightwards double arrowangleAOE = 40degree
    Also, CD II OE and OC is a transversal.
    So, angleEOC + angle OCD = 180degree
    rightwards double arrowangleEOC + 150degree = 180degree
    rightwards double arrowangleEOC = 30degree
    Hence, x = angleAOE + angleEOC = 40degree + 30degree = 70degree

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