Question

in the given figure, decide whether line p is parallel to line q or not? Give the reason
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Answer 1

Answer:

line P is parallel to line Q

Answer 2

$p \: and \: q \: two \: straight \: lines , \\Let \: r \: is \: a \: transversal .$

/* From the figure attached */

$a = 105\degree$

$\blue{ ( Vertically \: opposite \: angles )}$

$Now, a + 75 \\= 105 + 75 \\= 180\degree$

$\pink{ ( Sum \: of \: interior \:angles}\\\pink{ same \:sides \: of \: the }\\\pink{ Transversal \: are }\\\pink{ supplementary) }$

Therefore.,

$\green { p \parallel q }$

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