Two angles are supplementary angles if the sum of the measur

Two angles are supplementary angles if the sum of the measures is 1 80 degree Find the measures of two supplementary Angles if the measure of one angle is 3 degree less than twice the other. What are the measures of the two angles?

Solution

let one angle =x

other angle =2x -3

given 2 angles are supplementary

x +(2x -3)=180^o

(3x -3)=180^o

3(x -1)=180^o

(x -1)=60^o

x=(60+1)^o

x =61^o

one angle =61^o

other angle =(2*61) -3=119^o

2 angles are 61^o,119^o