In diagram below de is parallel to xy what is the value of x

Step-by-step explanation:

As per the given diagram the DE is parallel to line XY

Let the point where transversal cut line DE be A and the point where it cuts line XY be B

Now from figure

(As both the angles are vertically opposite angles)

As DE is parallel to XY

Therefore and are cointerior angles between parallel lines

As we know that sum of cointeriors angles is 180 degree

Therefore

Subtracting 115 from both sides we get

The value of x is

i got 86 for this

hope this !

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72 is the answer to this problem