Question

In figure,angle AOB and angle COB from a linear pair.Find the measure of x

Answer 1

x/2 +x/3 = 180 (linear pair)
3x +2x/6=180
5x/6=180
5x=180*6
5x=1080
x=1080/5
x=216

Answer 2

$Given, \: \angle AOB + \angle COB= 180^{\circ} \: [linear \: pair].\\ \\\frac{x}{2}+\frac{x}{3}=180^{\circ}\\ \\LCM \: of\: 2 \:and\: 3 = 2 \times 3 = 6.\\ \\\frac{x \times 3}{2 \times 3}+\frac{x \times 2}{3 \times 2}=180^{\circ}\\ \\\frac{3x}{6}+\frac{2x}{6}=180^{\circ}\\ \\\frac{3x+2x}{6}=180^{\circ}\\ \\\frac{5x}{6}=180^{\circ}\\ \\5x=180 \times 6\\ \\5x=1080^{\circ}\\ \\x=\frac{1080}{5}\\ \\x=216^{\circ} \\ \\ \\\therefore, \: x=216^{\circ}$