The value of x for which the lines are parallel is option(D) 64°.
What is the concept of parallel lines ?
The angle subtended to the base of any parallel line standing on any straight line is always equal.
Also we know that angles that have the same position with regards to the parallel lines and the transversal are corresponding pairs .
Solving for angle from the concept of parallel lines -
Thus from the given diagram, we can see that the angle subtended to the base of the two parallel lines is always equal.
∴ (x - 1)° = 63° [According to the hypothesis]
⇒ x = 63° + 1°
∴ x = 64°
Thus the value of x for which the lines are parallel is Option (D) 64°.
To learn more about parallel lines, refer -
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