<span>The correct option is: (C) a⊥b, by Perpendicular Transversal Theorem
Explanation: Perpendicular Transversal Theorem states that in a plane, if a line is perpendicular to one of two parallel lines, then it is perpendicular to the other line also.
As the line b is perpendicular to the line c and the line c is parallel to the line a, hence the line a is perpendicular to the line b. Therefore, the correct option is (C) a⊥b, by Perpendicular Transversal Theorem </span>
Option C is the right choice - a⊥b, by Perpendicular Transversal Theorem
Step-by-step explanation:
The Perpendicular Transversal Theorem states that in a plane state, if any given line is perpendicular to one of two given parallel lines , then it is perpendicular to the other line also.
So, as per the definition, we can see that 'a' and 'c' are parallel lines and line 'c' is perpendicular to 'b' so. 'a' will also be perpendicular to 'b'.