Answer:Angle BAD = 180-59= 121 degrees
Step-by-step explanation:
Quadrilateral ABCD is inscribed in circle O
Sum of angles in the quadrilateral = 360.
In a quadrilateral, the two opposite angles are supplementary. This means the sum of the two opposite angles is 180
Therefore, angle ABC + angle ADC = 180
So also, angle BAD + angle BCD = 180
angle ABC = 2x + 3 and angle ADC = 4x +3
2x + 3 + 4x + 3 = 180
6x + 6 = 180
6x = 180-6 = 174
x = 174/6= 29
Angle ABC = 2×29 +3 = 61 degrees
Angle ADC = 4× 29 +3 = 119 degrees
Angle BCD = 2×29 + 1 = 59 degrees
Angle BAD = 180-59= 121 degrees (because they are supplementary angles)
