SOLUTION: Could you please help with finding angle DEF? <a rel=nofollow HREF="https://ibb.co/mNt52y0"><img src="https://i.ibb.co/TWRM701/IMG-5104-findangle.jpg" alt="IMG-5104-findangle"

Algebra ->  Triangles -> SOLUTION: Could you please help with finding angle DEF? <a rel=nofollow HREF="https://ibb.co/mNt52y0"><img src="https://i.ibb.co/TWRM701/IMG-5104-findangle.jpg" alt="IMG-5104-findangle"      Log On


   



Question 1186673: Could you please help with finding angle DEF?
IMG-5104-findangle

Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


The triangles EDY and EFY are congruent by hypotenuse-leg, so angles DEY and FEY are congruent.

So solve 2y%2B11=4y-7 for y to find the measure of angles DEY and FEY; then the measure of angle DEF is the sum of those two.


The student responded, saying that the diagram does not show that angle EFY is a right angle.

He is absolutely right; I overlooked that.

And that makes it impossible to answer the question. Move point F along ray EF to different positions and the measure of angle DEF will change....