Question 914679


The measure of angle C is {{{(2x + 56)}}} degrees. 

The measure of angle I is {{{ (208 + 5x) }}} degrees.

Supplementary angles add up to {{{180}}}°.

so, we have {{{(2x + 56)+(208 + 5x)=180}}}

{{{2x + 56+208 + 5x=180}}}

{{{7x +264=180}}}

{{{7x =180-264}}}

{{{7x =-84}}}

{{{x =-84/7}}}

{{{x =-12}}}


C is {{{(2x + 56)=2(-12)+56=-24+56=highlight(32)}}}° 

I is {{{ (208 + 5x)=208-5(-12)=208-60=highlight(148) }}}°