Question 1197065
<a href="https://ibb.co/Qdc1Qwz"><img src="https://i.ibb.co/Qdc1Qwz/Capture10-9-2022-4-22-57-PM.jpg" alt="Capture10-9-2022-4-22-57-PM" border="0"></a>


as you can see, there are three right angles

first find the measure of angle {{{b}}}

{{{b=90-37=53}}}°

then we know that the sum of {{{2b}}} plus third angle in second right triangle is {{{180}}}

 third angle in second right triangle is {{{90-a}}}°

so, 

{{{2b+(90-a)=180}}}°

{{{2*53+90-a=180}}}°

{{{196-180=a}}}°

{{{a=16}}}°


since angle {{{c}}} in third right triangle is equal in measure to the third angle in second triangle which is {{{90-a}}}, we have


{{{c=90-16}}}°

{{{c=74}}}°