To solve the question we proceed as follows: In an inscribed quadrilateral, the opposite angles are supplement for each other. In our case A and C are supplements. B and D are supplements. Hence to solve for A we need to obtain the value of x. since B and D are supplements, then: B+D=180 plugging the values: 2x+(3x-5)=180 2x+3x-5=180 5x=180+5 5x=185 x=37 hence: A=x+5 A=37+5 A=42°
