SATMathematics Practice Test 1

Consider the measures of $\angle 3$ and $\angle 4$ in the figure below
The measure of ∠3 is equal to the measure of ∠1 because they are corresponding angles for the parallel lines $\mathit{l}$ and m intersected by the transversal line t. Similarly, the measure of $\angle 3$ is equal to the measure of ∠4 because they are corresponding angles for the parallel lines s and t intersected by the transversal line m. Since the measure of $\angle 1$ is $35°$, the measures of $\angle 3$ and $\angle 4$ are also $35°$. Since $\angle 4$ and $\angle 2$ are supplementary, the sum of the measures of these two angles is 180°. Therefore, the measure of ∠2 is $180°-35°=145°$.
Choice A is incorrect because 35° is the measure of $\angle 1$, and $\angle 1$ is not congruent to $\angle 2$. Choice B is incorrect because it is the measure of the complementary angle of $\angle 1$, and $\angle 1$ and $\angle 2$ are not complementary angles. Choice C is incorrect because it is double the measure of $\angle 1$.