Question

the measure of tone angle is 38 degrees less than is supplement. Fine the measure of each angle.

Answer 1

109° and 71°

Supplementary angles sum to 180°

let one angle be x then the other angle is x - 38, hence

x + x - 38 = 180

2x - 38 = 180 ( add 38 to both sides )

2x = 218 (divide both sides by 2 )

x = 109

the two angles are 109° and 109 - 38 = 71°