The square ABCD above has a side length equal to 1. If ∠EAF = 45°, and

Question

https://gmatclub.com/forum/download/file.php?id=58290 The square ABCD above has a side length equal to 1. If ∠EAF = 45°, and ∠AFB = 70°. What is the measure of angle AEF? A. 50° B. 55° C. 60° D. 65° E. 70° Are You Up For the Challenge: 700 Level Questions Untitled.png

QuantMadeEasy · Answer

Step 1: Understanding the question 
In ΔFBA, ∠BAF = 20°
As ∠BAD = 90, ∠EAD = 25° and ∠DEA = 65°

Refer to the attachment:
Lets form a ΔHAG such that ∠HAG = 45°, ∠BAH = ∠GAD = 22.5°, hence, AH = AG and ∠GHA = ∠AGH = 67.5

When G point coincides with E and H with F, ∠AEF is slightly less than 67.5

IMO D

atomicskull · Answer

sorry the answer is D by congruent triangles

chetan2u · Answer

Rather it is opposite....∠AEF is smaller than 67.5 
If the triangle were isosceles, that is AE=AF, then both ∠AEF and ∠AFE would be 67.5 each. But point F is closer to vertex as it makes a 70 degree angles as compared to point E, which makes 65.
Thus AE>AF, and the corresponding opposite angles will also have the same relation => ∠AEF < ∠AFE, so ∠AFE is greater than 67.5, while ∠AEF is smaller than 67.5

123456789007 · Answer

quantmadeeasy i like your diagram you can also find angle aed i.e 65 now fold the page as given above you will get answer 65 hence D

Or another way if you look at the diagram it is shifted towards angle b side so between angle f and e angle and e has to be more by the property angle opposite to greater side is greater and we know that side FC is bigger so angle e has to be bigger even if we consider both of them equal it will be 45 degree(in real it will be little more) 
we know that side is 180 degree from that angle aed is 65 degree and angle fec is 45 so angle aef will be 70 degree but we have considered angle fec a little less so the next lowest option is the correct answer i.e option d 65 degree

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The square ABCD above has a side length equal to 1. If ∠EAF = 45°, and

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The square ABCD above has a side length equal to 1. If ∠EAF = 45°, and

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