First of all, we need to know what is supplementary angle is. It's means that two angles add together to get 180° angle. For examples, 135° and 45° angles add together called supplemtary angles. Now, we know Supplementary angles with measures (2x+4) and (3x+1), so (2x+4)+(3x+1)=180 2x+4+3x+1=180 Combining like terms 2x+3x+4+1=180 5x+5=180 Subtract 5 to each side 5x+5-5=180-5 5x=175 Divided 5 to each side 5x/5=175/5 x=35° Next, find the measure of two angles by substitute x=35° with (2x+4) and (3x+1), so 2x+4 =2(35)+4 =70+4 =74°
(3x+1) =3x+1 =3(35)+1 =105+1 =106°. As a result, the two supplementary angle are 106° and 74°. Hope it help!
