Answer:
α=30, β=60
Step-by-step explanation:
we have angles α and β where α + β =90 & β=α+30
this gives us a system of equations that can be solved through substitution
[tex]\alpha +\beta =90\\\beta =\alpha +30[/tex]
substitute to solve for α: α+(α+30)=90
2α+30=90
2α=60
α=30
substitute α to find β:
β=α+30
β=(30)+30 = 60
