Maths-
General
Easy

Question

In the given figure, stack A B with bar on top is parallel to CD, then x =

  1. 45°    
  2. 55°    
  3. 65°    
  4. 75°    

hintHint:

In this question, we have to find the value of x using the figure given. For that first we will extended of the parallel line such that they intersect with a common transversal. Later using some common theorems like angle properties of parallel lines or of triangle.

The correct answer is: 65°



    Extended CD to G so that it intersect EB at F
    Now, GD II AB and EB is transversal
    So, angleEFG = angleEBA =140degree          [corresponding angles]
    Also, As GD is a straight line.
    angleECG + angleECD = 180degree          [sum of angles in a straight line is 180degree ]
    rightwards double arrowangleECG + 105degree = 180degree
    rightwards double arrowangleECG = 75degree
    In triangleECF,
    angleFEC + angleECF = angleEFG     [exterior angle is equal to sum sum of interior opposite angles ]
    rightwards double arrowx + 75degree = 140degree
    rightwards double arrowx = 65degree

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