Question 928670

Complementary angles add up to {{{90}}}°

so, {{{(10z-9)+(4z + 3)=90}}} ....solve for {{{z}}}

{{{10z-9+4z+3=90}}}

{{{14z-6=90}}}

{{{14z=90+6}}}

{{{z=96/14}}}

{{{z=6.86}}}

now find angles

{{{10z-9=10*6.86-9=68.6-9=highlight(59.6)}}}

 {{{4z + 3=4*6.86+3=27.4+3=highlight(30.4)}}}