In the figure, the missing angle is 58 degrees
How to find the missing angle
Where line EDC is a tangent to the circle. At the point of tangency it makes an angle of 90 degrees
Hence, we have that angle ADC = 90 degrees
one of the base angle of isosceles triangle be y
angle ADC = y + 29
y = 90 - 29 = 61 degrees
Using sum of angles in a triangle
θ = 180 - 2 * 61
θ = 58 degrees
The missing angle is 58 degrees