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Question 1189723: ABCD and DEFG are congruent squares, and x/y= √3. Find the measure of Angle AHE.
Diagram: https://imgur.com/a/vAtFnwf
Answer by greenestamps(13200)   (Show Source):
You can put this solution on YOUR website!
I will show you one path to the solution and let you do the work.... (You will get no benefit from this problem if we do all the work for you)
(1) In triangle CDE, use the given angle DEC=60 degrees and the fact that DC and DE are sides of congruent squares to find angles ECD and EDC.
(2) Use the measures of angles ADC, CDE, and EDG to find the measure of angle ADG.
(3) Use the measure of angle ADG and the fact that AD and DG are sides of congruent squares to find the measures of angles DAG and DGA.
(4) Use the measures of angles DGA and DGE to find the measure of angle HGI.
(5) In right triangle EFI, use the fact that x/y=sqrt(3) to find the measure of angle FIE.
(6) Use the measure of angle FIE to find the measure of angle HIG.
(7) Use the measures of angles HGI and HIG to find the measure of angle GHI.
Angle AHE is another name for angle GHI, so you should have the answer.
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(Your answer should be 60 degrees....)
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