Question

Form the pair of linear equations for the following problems and find their solution by substitution method.
The larger of two supplementary angles exceeds the smaller by $18$ degrees. Find them.

Answer 1

$firstangle=x^o$
$secondangle=x^o+15$
$firstangle+secondangle=180$ [sum of supplementary angles is 180 degree]
$x+x+15=180$
$2x+15=180$
$x=82.5$
$firstangle=x^o={82.5}^o$
$secondangle=x^o+15={97.5}^o$