Question

Prove that two lines perpendicular to the same line are parallel to each other.​

Answer 1

$\huge \tt Solution:$

• Since n is perpendicular to l
• Thus, ∠1= 90°
• Also,Since n is perpendicular to m
• Thus, ∠2 =90°
• Since n cuts both the line l and m and corresponding angles are equal
• Thus, The line l and m are parallel to each other.
• Hence, Proved

Answer 2

<1=90°

<2=90°

<1=<2

But they form a pair on corresponding angles

or just simply

n cuts both the line l and m and corresponding angles are equal

∴ｍ||n

$\huge\mathbb{\purple{ドラえもんバツ のび太}}$