Question

In the given figure below, decide whether $l$ is parallel to $m$.

Answer 1

(i) ${125}^o+{44}^o={169}^o$
$l$ is not parallel to $m$ because sum of interior opposite angles should be ${180}^o$.
(ii) ${75}^o+{75}^o={150}^o$
$l$ is not parallel to $m$ because sum of angle does not obey the property of parallel lines.
(iii) ${57}^o+{123}^o={180}^o$
$l$ is parallel to $m$ due to supplementary angles property of parallel lines.
(iv) ${98}^o+{72}^o={170}^o$
$l$ is not parallel to $m$ because sum of angle does not obey the property of parallel lines.