GMAT Quantitative Reasoning Practice Test 1

Note that the figure is not drawn to scale, so do not rely on the diagram to calculate the answer. Since the angles are adjacent and formed by two intersecting lines, they are also supplementary. Combine the two angles and set the sum equal to 180 .
$2\mathit{x}+3\mathit{x}-40=180$
Combine like terms and add 40 to both sides.
$5\mathit{x}-40+40=180+40.5\mathit{x}=220$
Divide both sides by 5 to get $\mathit{x}=44$. Then $2\mathit{x}=88$ and $3\mathit{x}-40=92$. The smaller angle is 88 .