Question

In each of the given figures two lines l and m are cut by a transversal t . Find whether l is parallel to m .​

Answer 1

answer for the above question

Answer 2

Case 1: Lines are parallel

Case 2: Lines are not parallel

Explanation:

Given: 2 lines l and m cut by a transversal t

To Find: Whether l and m are parallel or not

Formula:

1. "Sum of angles on one side of a line is 180 degrees"

2. "Corresponding angles in parallel lines are equal"

Solution:

Case 1:

• We have 't' cuts 'l' at 35 degrees.
• Therefore the supplementary angle will be 145 degrees (as 35+145=180)
• we have 't' cuts 'm' at 145 degrees.
• Therefore the corresponding angles between l and m are equal
• Therefore the line l is parallel to the line m

Case 2:

• We have 't' cuts 'l' at 125 degrees.
• Therefore the supplementary angle will be 55 degrees (as 55+125=180)
• we have 't' cuts 'm' at 60 degrees.
• Therefore the supplementary angle will be 60 degrees (as 60+120=180)
• Therefore the corresponding angles between l and m are NOT equal
• Therefore the line l is NOT parallel to the line m