Question 424642


two complementary angles add up to 90°.

if one{{{a}}} is 12 degrees larger than the other angle {{{b}}}, we have

{{{a = b + 12}}} ........1

by definition we have

{{{a + b=90}}}................2


{{{a = b + 12}}} ........1.substitute {{{a}}} in 2

{{{b + 12 + b=90}}}................2


{{{2b + 12=90}}}

{{{2b =90-12}}}

{{{2b =78}}}

{{{b =78/2}}}

{{{b =39}}}......now find {{{a}}}


{{{a = 39 + 12}}}

{{{a = 51}}}


check:


{{{a + b=90}}}................2


{{{51 + 39=90}}}

{{{90=90}}}