Question 982595

Two Angles are Supplementary when they add up to {{{180}}} degrees.

Complementary Angles  add up to {{{90}}}°.

if one angle is {{{alpha}}}, its supplement is  {{{180-alpha}}} and its complement is  {{{90-alpha}}}

if the supplement of an angle measures {{{11}}} times its complement, then we have 

{{{180-alpha=11(90-alpha)}}} 

{{{180-alpha=990-11alpha}}} 

{{{11alpha-alpha=990-180}}} 

{{{10alpha=810}}} 

{{{alpha=810/10}}} 

{{{highlight(alpha=81)}}}° 

so, {{{alpha=81}}}° , its  supplement is  {{{180-alpha=180-81=99}}} and its complement is  {{{90-alpha=90-81=9}}}


your answer is: B. {{{81}}} degrees