Finding angle in a square

Question

Problem: ABCD is a square, E and F are points on BC and CD respectively such that AE cuts the diagonal BD at G and FG is perpendicular to AE.

K is a point on FG such that AK=EF.

Find the measure of the angle EKF.

Progress

So far, I found that AG=FG, and that the angle EKF is an obtuse angle.

I tried and found that AG=FG – lokesh sangabattula Nov 02 '14 at 15:12 — lokesh sangabattula, Nov 02 '14 at 15:12
Please, share this info with the community. – user132181 Nov 02 '14 at 15:13 — user132181, Nov 02 '14 at 15:13
Click on the "edit" button under the question. – user132181 Nov 02 '14 at 15:21 — user132181, Nov 02 '14 at 15:21
I think the answer is 135 degrees – lokesh sangabattula Nov 11 '14 at 10:13 — lokesh sangabattula, Nov 11 '14 at 10:13

score 1 · Accepted Answer · answered Nov 23 '14 at 12:56

1

enter image description here

as i was unable to draw the picture i uploaded the whole solution

answered Nov 23 '14 at 12:56

lokesh sangabattula

657

score 0 · Answer 2 · answered Nov 02 '14 at 15:32

0

Hint: Show that $\triangle AKG$ and $\triangle FEK$ are congruent. What is $\angle GKE$?

answered Nov 02 '14 at 15:32

Quang Hoang

15,854

Finding angle in a square

Progress

2 Answers2