Question

In the figure below, square EFIJ is congruent to square FGHI. Note: picture not drawn to scale If FEI JEI, what is mEFH? 125° 155° 145° 135°

Answer 1

going to re-draw the diagram bigger so we have more space to work with

Answer 2

because EFIJ and FGHI are both squares, they all have four 90-degree right angles

additionally, we are also told that <FEI and <JEI are congruent, so I will mark these details below

Answer 3

notice that <FEI and <JEI are two congruent angles that make up a 90 degree angle, so it stands to reason that they're both 45 degrees

additionally, since the left and right squares are congruent, then it stands to reason that <IFH corresponds to <JEI and thus is also 45 degrees

Answer 4

now, the question is asking for the measure of <EFH. can you try finding it now, given all the information provided so far?

Answer 5

135?