please help!

 

The sum of the interior angles of a rhombus is 360^o so add up all the angles. 

 

(2)(2w – 62) + (2)(w + 71) = 360 

 

4w - 124 + 2w + 142 = 360 

 

6w + 18 = 360 

 

6w = 342  

 

w = 57 

 

So plug in 57 in place of w and find that     2w – 62  =   52^o  each of the acute angles  

 

                                                         and      w + 71  =  128^o  each of the obtuse angles   

_.