This is the concept of trigonometry, the value of the measure of the supplementary angles can be obtained as follows; supplementary angles sum up to 180 degrees, thus; (2x+3)+(3x+2)=180 2x+3+3x+2=180 collecting like terms we get: 2x+3x+3+2=180 5x+5=180 5x=180-5 5x=175 thus; x=175/5 x=35 Thus the value of the angles will be: 3x+2 =35*3+2 =107 the size of the other angle will be: 180-107 =73
