# SOLUTION: given that DEFG ia a parallelogram and h is where segment DF and segment EG intersect. prove that measurement of angle DHG=measurement of angle EDH and measurement of angle FGH

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 Geometry: Proofs in Geometry Solvers Lessons Answers archive Quiz In Depth

 Click here to see ALL problems on Geometry proofs Question 178996This question is from textbook Homework and Practice Workbook : given that DEFG ia a parallelogram and h is where segment DF and segment EG intersect. prove that measurement of angle DHG=measurement of angle EDH and measurement of angle FGHThis question is from textbook Homework and Practice Workbook Answer by Mathtut(3670)   (Show Source): You can put this solution on YOUR website!@ represents angle : ```:: ************************************************************************* statement reason ************************************************************************* 1.DEFG is a parallelogram 1.Given H is where segment DF and EG intersect 2.@EDH+@HDG+@HGD+@FGH=180 2.def of parallelogram-consecutive angles are supplementary 3. @HDG+@HGD+@DHG=180 3.def of a triangle 4. @HDG+@HGD=180-@DHG 4.subtraction post. 5.@EDH+ (180-DHG)+ FGH=180 5.substitution post from statements #2,4 6.@EDH+@FGH=@DHG 6.addition and subtraction post. subtracted 180. added @DHG ```