Question

The measure of an angle is fifty-nine times the measure of a supplementary angle.What is the measure of each angle?

Answer 1

3° and 177°

supplementary angles sum to 180°

let x be an angle then the other angle is 59x

x + 59x = 180

60x = 180 ( divide both sides by 60 )

x = $\frac{180}{60}$ = 3

the angles are 3° and (59 × 3 )= 177°