Question

qual a medida do complemento do ângulo de 27° 31'?​

Answer 1

A soma de um ângulo com seu complemento deve ser igual a 90°, logo:

$27^\circ\,31'~+~(Complemento~de~27^\circ\,31')~=~90^\circ\\\\\\(Complemento~de~27^\circ\,31')~=~90^\circ~-~27^\circ\,31'\\\\\\Complemento~de~27^\circ\,31'~=~(89^\circ+1^\circ)~-~27^\circ\,31'\\\\\\Complemento~de~27^\circ\,31'~=~(89^\circ+60')~-~27^\circ\,31'\\\\\\Complemento~de~27^\circ\,31'~=~89^\circ\,60'~-~27^\circ\,31'\\\\\\\boxed{Complemento~de~27^\circ\,31'~=~62^\circ\,29'}$