Question

the large of two supplementary angles exceeds thrice the smaller by 20 degree find them

Answer 1

x = 3y+20             

=> x+y=180           [since they are supplementary angles]    ---- equation 1

=> 3y+20+y=180

=> 4y=180-160

=> 4y=160

=>y=40

Putting the value of x in equation 1

x+y=180

x+40=180

x=180-40

x=140


Therefore, x=140 and y=40