Question 401536


Complementary angles are two angles whose sum is 90°.

if one is {{{x}}} and another {{{y}}}, then

{{{x + y = 90}}}.........1

if the difference in the measures of the two angles is 12

{{{x - y = 12}}}.......2



{{{x + y = 90}}}.........1


{{{x - y = 12}}}.......2
---------------------------...solve this system



{{{x + y = 90}}}.........1

{{{x  = 90-y}}}.........1.plug in 2 and find y



{{{(90-y) - y = 12}}}.......2

{{{90 -y - y = 12}}}.......2

{{{90 - 2y = 12}}}.......2

{{{90 - 12 =2y}}}.......2

{{{78 =2y}}}.......2

{{{78/2 = y}}}.......2

{{{39 = y}}}.......2........now find x


{{{x  = 90-y}}}

{{{x  = 90-39}}}

{{{x  = 51}}}..........

so, angles are: 51 and 39 degree

check their difference

{{{51-39=12}}}
{{{12=12}}}