find x please fast it is important
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here x value is 45°
x= 45°
option (A) is correct
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AB is parallel to CD we have to find value of x
The Corresponding Angles Theorem says that: If a transversal cuts two parallel lines, their corresponding angles are congruent
So by the corresponding angles theorem we get Angle COE as 75° = Angle ABO
Note - We have named the point O where line CD intersects line BE
=> Now , we know that Angle COE + y = 180°
( Linear pair )
=> 75 + y = 180
=> y = 180 - 75
=> y = 105°
Now by using angle sum property let us find measure of x
=> 105 + 30 + x = 180
=> 135 + x = 180
=> x = 180 - 135
=> x = 45
Hence , Angle x is 45°
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