Question

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Answer 1

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)

Answer 2

The answer is 59 degrees.