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The measure of all the angles is given below:angle 1= 30angle 2=  150angle 3= 30angle 4= 150angle 5= 30angle 6= 150angle 7= 30angle 8= 73.5What is angle?An angle is formed when two straight lines or rays meet at a common endpoint. The common point of contact is called the vertex of an angle. As,angle 1= 30 (Vertically opposite angle)angle 7= 30 (corresponding angle)angle 4+30= 180 (linear pair)  angle 4= 150angle 4= angle 2= 150 (Vertically opposite angle)angle 2= angle 6= 150  (corresponding angle)angle 1= angle 5= 30  (corresponding angle)angle (2x+3)= angle 4  (corresponding angle)      2x+3= 150       x= 73.5Lean more about angle here: