Quantitative Comparison Practice Test 4

Concept:Use the triangle angle-sum property and the linear-pair property to compare the two columns.Explanation:In the triangle, the angles satisfy$$a+b+c=180^\circ.$$Angles $c$ and $d$ form a linear pair, so$$c+d=180^\circ.$$From the first equation,$$a+b=180^\circ-c.$$Now compare $c+d$ with $a+b$:$$c+d=180^\circ$$and$$a+b=180^\circ-c.$$Since $c$ is a positive angle, $c>0$.Therefore,$$180^\circ > 180^\circ-c.$$So,$$c+d > a+b.$$Thus, Column A is greater than Column B.Answer:Column A is greater, so option A is correct.