Question

Find the value of x.​

Answer 1

2x+60+3x-40=180 ( linear pair )

5x+20=180

5x=180-20

5x=160

x=160/5

x=32

Answer 2

ANSWER✔

$\large\underline\bold{GIVEN,}$

$\sf\dashrightarrow \angle POR = (2x+60)\degree$

$\sf\dashrightarrow \angle QOR = (3x-40)\degree$

$\large\underline\bold{TO\:FIND,}$

$\sf\dashrightarrow the\:value\:of\:x.$

$\large\underline\bold{SOLUTION,}$

$\therefore by\:angle\:sum\:property,$

$\dashrightarrow \angle POR +\angle QOR =180\degree$

$\implies (2x+60)\degree +(3x-40)\degree= 180\degree$

$\implies 2x+60+3x-40 =180\degree$

$\implies 2x+3x+60-40=180\degree$

$\implies 5x+20=180\degree$

$\implies 5x=180-20$

$\implies 5x=160$

$\implies x= \dfrac{160}{5}$

$\implies x= \cancel \dfrac{160}{5}$

$\implies x= 32\degree$

$\large{\boxed{\bf{\star\:\: x= 32\degree\:\: \star }}}$

$\large\underline\bold{OPTION:-D,\:IS\:CORRECT\:OPTION.}$

$\therefore \angle POR = 2x+60 \\ \implies \:2(32)+60 \\ \implies 64+60\\ \implies 124\degree$

$\therefore \angle QOR = 3x-40 \\ \implies 3(32)-40 \\ \implies 96-40 \\ \implies 56\degree$

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