By ASA postulate those two triangles are congruent.
The ASA (Angle,Side,Angle) postulate states that if two triangles with two angles and the included angle are equal then the two triangles are congruent.
The ASA postulate refers to the congruence of Angle-Side-Angle pairs. In this problem we have ABE and DCE triangle. The reasons why we can use ASA postulate are:
We can see that angles DEC and AEB are congruent, because they are opposite angles.
Side AE is congruent with side DE, it's part of the hypothesis of the problem.
Also, angle A is congruent with angle D, by hypothesis.
So, there are three pairs of congruence, Angle-Side-Angle. Therefore, according to ASA postulate, we can say that the triangle ABE is congruent with triangle DCE.
We see that 1 inch is equal to 5.6 miles for this scale factor. If we have three inches, we simply multiply 5.6 by 3 to figure out how many miles this is!
5.6(3)=16.8
Therefore, Janet's home is 16.8 miles from her office.