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One of the supplementary angles exceeds the other by $120^\circ$. Express the given information as a system of linear equations in two variables. Hence, find the measure of both the angles.
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(B) Let the angles be $x$ and $y$
$x + y = 180^\circ$ (1 Mark)
$x - y = 120^\circ$ (1 Mark)
solving we get
$x = 150^\circ$ (1/2 Mark)
$y = 30^\circ$ (1/2 Mark)
$x + y = 180^\circ$ (1 Mark)
$x - y = 120^\circ$ (1 Mark)
solving we get
$x = 150^\circ$ (1/2 Mark)
$y = 30^\circ$ (1/2 Mark)