Figure 7(2) help

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The angles AOB, OBA & OAB respectively are: 112, 34 & 34 {in degrees}
DCO = 180 - DCE {Linear pair}
DCO = 180 - 146 = 34
OAB = DCO = 34 {Alternate interior angles; a rectangle is by extension a parallelogram}
OAB = OBA = 34 {AOB is an isosceles triangle; diagonals of a rectangle are equal & bisecting}
AOB =  180 - OAB - OBA {Angle sum property}
AOB = 180 - 34 - 34
AOB = 180 - 68
AOB = 112
 
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