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angles parallelogram

     d blue1    - smaller  diagonal

     DD blue    - larger  diagonal

    a black , b black     -  sides

     alpha red  -  acute angle

     beta green  -  obtuse angle

   A18 black    -  area of a parallelogram

 

Find the angle of a parallelogram if given sides and diagonal  :

angles parallelogram F

angles parallelogram F1

 

Find the angle of a parallelogram if given sides and area  :

angles parallelogram F3

 

Equations for the relation of the acute and obtuse angles:  :

angles parallelogram F4