Final answer:
To find the measure of ∠2 in rectangle JAGS, subtract the sum of the other three angles from 360°.
Step-by-step explanation:
To find the measure of ∠2 in rectangle JAGS, we need to use the fact that opposite angles in a rectangle are congruent. Since ∠1 is given as 57°, we know that ∠3 is also 57°.
To find ∠2, we subtract the sum of the other three angles (90°+57°+57°) from 360° to get the measure of ∠2, which is 156°.