Question

are the two lines be parallel if their interior angles on same side of transversal are 45° and 135° ? why?

plzz answer with solution​

Answer 1

$Given \: two \: interior \: angles \: same \: side \\of \:the \: Transversal \: are \: 45\degree \: and \: 135\degree$

$Sum \: of \: the \: angles \\= 45\degree + 135\degree\\= 180\degree$

Therefore.,

$\green {Given \: two \: lines \: are \: parallel }$

/* We know that */

*By Theorem *

$\blue{If \: a \: Transversal \: intersects \:two }\\\blue{lines\: such \:that \:a \:pair \:of \: interior }\\\blue{ angles \:on \:the \: same \:side \:of \:the }\\\blue{ Transversal \:are \: supplementary , }\\\blue{ then \:the \:two \:lines \: are \: parallel . }$

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