SOLUTION: sketch a quadrilateral EFGH. Mark in ∠GEF =50°,∠FGE=50°, ∠EGH=40° and ∠EHG=90°. Calcukate ∠EFG and ∠HEG

Algebra ->  Geometry-proofs -> SOLUTION: sketch a quadrilateral EFGH. Mark in ∠GEF =50°,∠FGE=50°, ∠EGH=40° and ∠EHG=90°. Calcukate ∠EFG and ∠HEG      Log On


   



Question 1019261: sketch a quadrilateral EFGH. Mark in ∠GEF =50°,∠FGE=50°,
∠EGH=40° and ∠EHG=90°. Calcukate ∠EFG and ∠HEG

Answer by Edwin McCravy(20081) About Me  (Show Source):
You can put this solution on YOUR website!
sketch a quadrilateral EFGH. Mark in ∠GEF =50°,∠FGE=50°,
∠EGH=40° and ∠EHG=90°. Calculate ∠EFG and ∠HEG


∠EFG + ∠GEF + ∠FGE = 180°
∠EFG +  50° +   50° = 180°
        ∠EFG + 100° = 180°
               ∠EFG = 180° - 100°
               ∠EFG = 80°

∠HEG + ∠EGH + ∠EHG = 180°
∠HEG +  40° +   90° = 180°
        ∠HEG + 130° = 180°
               ∠HEG = 180° - 130°
               ∠HEG = 50°

Edwin