Question 889753
Supplementary angles are angles that have a sum of 180°

Let {{{x}}} be the 1st angle
{{{180 - x}}} be the 2nd angle

{{{(x) - (180 - x) = 46 }}}
{{{ 2x - 180 = 46 }}}
{{{ 2x = 226}}}
{{{ x = 113}}}

{{{180 - (113) = 67}}}

The value of the smaller angle is 67°