Respuesta :

The measure of angle ABC = ABD + DBC = 95 degrees.

Let's plug our values from the picture into our equation above.

95 = 2x + 23 + 9x - 5

Combine like terms

95 = 11x + 18

Subtract 18 from both sides

77 = 11x

Divide both sides by 11

7 = x

Angle ABD = 2x + 23 = 2(7) + 23 = 14 + 23 = 37 degrees.

Angle DBC = 9x - 5 = 9(7) - 5 = 63 - 5 = 58 degrees.