Question

Two angles are complementary. One angle is 30 more than the other angle. Find the value

of both angles.

Answer 1

α=30, β=60

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

`\alpha +\beta =90\\\beta =\alpha +30`

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