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Mathematics Question on Kinds of Quadrilaterals

The adjacent figure HOPEHOPE is a parallelogram. Find the angle measures x,yx, y and zz. State the properties you use to find them.
adjacent figure HOPE

Answer

y=40°(Alternate  interior  angles)\70°=z+40º  (Corresponding  angles)\70°−40°=z\z=30° x+(z+40º)=180°  (Adjacent  pair  of  angles)\x+70º=180°\x=110°y = 40° (Alternate\; interior\; angles) \\\70° = z + 40º \;(Corresponding\; angles) \\\70° - 40° = z \\\z = 30°\\\ x + (z + 40º) = 180° \;(Adjacent \;pair \;of \;angles) \\\x + 70º = 180° \\\x = 110°