In the given figures below, decide whether \(l\) is parallel to \(m\).
Solution and Explanation
(i) \(126\degree + 44\degree = 170\degree\)
\(l\) is not parallel to \(m\) because sum of interior opposite angles should be \(180\degree\).
(ii) \(75\degree + 75\degree = 150\degree\)
\(l\) is not parallel to \(m\) because sum of angles does not obey the property of parallel lines.
(iii) \(57\degree + 123\degree = 180\degree\)
\(l\) is parallel to \(m\) due to supplementary angles property of parallel lines.
(iv) \(98\degree + 72\degree = 170\degree\)
\(l\) is not parallel to \(m\) because sum of angles does not obey the property of parallel lines.
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