Question 773841


If m< {{{P=(9x+20)}}} find the measure of each of the following:

supplement {{{x}}} of < {{{P}}}: Supplementary Angles add up to {{{180}}}°. 

{{{P+x=180}}}°
{{{(9x+20)+x=180}}}°
{{{9x+20+x=180}}}°
{{{10x=180-20}}}°
{{{10x=160}}}°
{{{x=160/10}}}°
{{{highlight(x=16)}}}°

now find measure of angle {{{P}}}

m< {{{P=(9x+20)}}}

m< {{{P=9*16+20}}}

m< {{{highlight(P=164)}}}

so, m< {{{highlight(P=164)}}} and its supplement {{{highlight(x=16)}}}°



   complement {{{x}}} of < {{{P}}}: complementary Angles add up to {{{90}}}°

{{{P+x=90}}}°
{{{(9x+20)+x=90}}}°
{{{9x+20+x=90}}}°
{{{10x=90-20}}}°
{{{10x=70}}}°
{{{x=70/10}}}°
{{{highlight(x=7)}}}°

now find measure of angle {{{P}}}

m< {{{P=(9x+20)}}}

m< {{{P=9*7+20}}}

m< {{{highlight(P=83)}}}

so, m< {{{highlight(P=83)}}} and its complement {{{highlight(x=7)}}}°