Mathematics

If $l\parallel m$ and $p\parallel q$, find $a,b,c,d$.

SOLUTION
$a + {57^o} = {180^o}$
$a = {180^o} - {57^o}$
$a = {123^o}$
$a + b = {180^o}$ ........ (Co-interior angles)
${123^o} + b = {180^o}$
$b = {180^o} - {123^o}$
$b = {57^o}$
$c = a$ ........ (corresponding angle)
$= {123^o}$
$d = c = {123^o}$ ......... (vertically opposite angles)

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Subjective Medium Published on 09th 09, 2020
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