Question

Translate to a system of equations and solve:

Two angles are complementary. One angle is 42 degrees more than one half the other. Find the angles.

Answer 1

two angles are complementary when their sum = 90
therefore let x= angle 1
angle 2 = 1/2x + 42

therefore x + 1/2x + 42 = 90
1 1/2 x = 90-42
1 1/2x = 48
x = 32