Question

An angle measures 50° more than the measure of a supplementary angle. What is the measure of each angle?

Answer 1

65° and 115°

Explanation:

let one angle be x then the other is x + 50

The sum of 2 supplementary angles = 180°, hence

x + x + 50 = 180

2x + 50 = 180 ( subtract 50 from both sides )

2x = 130 ( divide both sides by 2 )

x = 65

Thus the 2 angles are x = 65° and x + 50 = 65 + 50 = 115°