Q. 25.0( 2 Votes )

In figure 5.31 AB

Answer :

Given:


AB || EF


Construction.


Draw a line parallel to both AB and EF from the meeting point of their transverse


Theory:


If 2 lines are parallel then alternate interior angles are equal


As constructed line will divide y into 2 different parts


As the constructed line is parallel to AB


By interior alternate angles


The upper part of y = 125°


As the constructed line is parallel to EF


By interior alternate angles


The lower part of y = 141°


Combining both parts of y we get


y = 125° + 141° = 266°


As y and x make complete circle


y + x = 360°


266° + x = 360°


x = 360° - 266° = 94°


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