Question

Suppose m∠YES = 113°

Answer 1

By definition, complementary angles add up to 90°

Let
$x$
be the complement of 113°

Then,

$x + 113 \degree = 90 \degree$


$x = 90 - 113 = - 23 \degree$


By definition supplementary angles also add up to 180°

Let
$y$
be the supplement of 113°



Then,

$y + 113 = 180$
$y = 180 - 113 = 67 \degree$
Hence the supplement of m<YES=67°