Question

o dobro do complemento de um angulo adicionado a metade do suplemento desse mesmo angulo

Answer 1

Considerando o angulo desconhecido como sendo β, onde:

๏ Complemento: o quando falta para completar 90º.
๏ Suplemento: o quanto falta para completar 180º

= = = = = 

Logo:

$\mathsf{2\left(90-\beta \right)+\dfrac{180-\beta }{2}=}\\\\\\\mathsf{\dfrac{2\cdot 2\left(90-\beta \right)}{2}+\dfrac{180-\beta }{2}=}\\\\\\\mathsf{\dfrac{4\left(90-\beta \right)}{2}+\dfrac{180-\beta }{2}=}\\\\\\\mathsf{\dfrac{360-4\beta }{2}+\dfrac{180-\beta }{2}=}\\\\\\\mathsf{\dfrac{360-4\beta +180-\beta }{2}=}\\\\\\\mathsf{\dfrac{540-5\beta }{2}=}\\\\\\\boxed{\mathsf{270-\dfrac{5\beta }{2}}}\: \: \checkmark$