Question

prove that if a line is perpendicular to two lines in a plane then the two lines are parallel to Each other.​

Answer 1

Given:- The line meeting the two points of the two lines are perpedicular to the two lines.

To prove:- The lines are parallel

Proof:- First the angles made by a line perpedicular to the two lines are equal.

so the sum of the angles are 180 degreei.e they are supplementary angles.

so the two lines are parallel

hence proved