To find angle $ \alpha $ use formula:
$$ \alpha + \beta = 90^o $$After substituting $ \beta = 135^o $ we have:
$$ \alpha + 135^o = 90^o $$ $$ \alpha = 90^o - 135^o $$ $$ \alpha = -45^o $$The result has to be greater than zero. $ \Longrightarrow $ The problem has no solution.