lines a, b, c and d are in the same plane. line a is parallel to line c. lines b and c are perpendicular to line d. based on this, tell how lines a and b are related. explain your answer

Answer 1

Based on the information given, we know that lines a and c are parallel, and lines b and c are perpendicular to line d.

Since line c is parallel to line a, and line c is perpendicular to line b, it follows that lines a and b are also perpendicular to each other.

This is because if two lines are parallel to the same line, and one of them is perpendicular to a third line, then the second line will also be perpendicular to the third line.

In this case, line a is parallel to line c, and line c is perpendicular to line b, so line a will also be perpendicular to line b.

Therefore, lines a and b are perpendicular to each other.