Question

one angle measures 54 more then 3 times another angle. The angles are supplementary. write and solve a system of equations to find their measures

Answer 1

α
β=54+3α
α+β=180°(supplementary)
α+(54°+3α)=180°
α+54°+3α=180°
4α=180°-54°=126
α=126/4=31.5
β=54°+3*31.5=54+94.5=148.5