Question 1189723
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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)<br>
(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.<br>
(2) Use the measures of angles ADC, CDE, and EDG to find the measure of angle ADG.<br>
(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.<br>
(4) Use the measures of angles DGA and DGE to find the measure of angle HGI.<br>
(5) In right triangle EFI, use the fact that x/y=sqrt(3) to find the measure of angle FIE.<br>
(6) Use the measure of angle FIE to find the measure of angle HIG.<br>
(7) Use the measures of angles HGI and HIG to find the measure of angle GHI.<br>
Angle AHE is another name for angle GHI, so you should have the answer.<br>
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(Your answer should be 60 degrees....)<br>