Geometry tangent find the value of brainliest

At the point where the tangents meet the circle, the angles are 90.

So using angle sum of a quadrilateral:

360 - (90 + 90) = 180

so 180 = x + 40

x = 180 - 40

x = 140

correct answer is infinitely many solutions

step-by-step explanation:

2(2x + 3) = -4 + 2(2x + 5)

solving the above equation:

4x + 6 = -4 +4x +10

combining like terms

4x -4x = -4+10-6

0=0

since both sides are 0=0, we end up into true statement it means it has infinite many solutions.

so correct answer is infinitely many solutions