Question 824873
x = angle
(90 - x) = complement
(180 - x) = supplement
{{{(1/10)=( (90 - x)/(180 - x) )}}}
do cross products
{{{10(90-x) = 1(180-x)}}}
{{{900-10x = 180-x}}}
add x to each side
{{{900-9x = 180}}}
subtract 900 from each side
{{{-9x = -720}}}
divide each side by -9
{{{x = 80}}}