Question 1108858


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

if the angles {{{(2x-3)}}} degrees and {{{(3x-2)}}} degrees, we have

{{{(2x-3)+(3x-2)=180}}}

{{{2x-3+3x-2=180}}}

{{{5x-5=180}}}

{{{5x=180+5}}}

{{{5x=185}}}

{{{x=185/5}}}

{{{x=37}}}

so, the measure of each angle is:

{{{2x-3}}}°
{{{2*37-3}}}°
{{{74-3}}}°
{{{highlight(71)}}}°

and

{{{3x-2}}}°
{{{3*37-2}}}°
{{{111-2}}}°
{{{highlight(109)}}}°


check their sum:

{{{highlight(71)+highlight(109)=180}}}°
{{{highlight(180)=180}}}°