The supplements would be- x degree and 2x-45 degree. We all know that two supplements together measure 180 degrees. So, we have- x+2x-45=180 =3x-45=180 =3x=180+45 (On Transposing -45 to RHS becomes+45) =3x=225 =x=225/3 (On Transposing *3 to RHS becomes /3) =x=75 degrees (This is the first angle) So, 2nd angle= 2x-45= 2*75-45= 150-45= 105 degrees On checking, we have 105+75=180 degrees. So greater angle measures 105 degrees.(Answered and proved with explanation).