1. **Problem statement:** We have a circle with a tangent line EDC touching the circle at point D. Angle between the tangent EDC and chord DB at point D is 29°. We need to find the size of angle $\theta$ at point B inside the circle. 2. **Relevant theorem:** The angle between a tangent and a chord through the point of contact equals the angle in the alternate segment of the circle. This means: $$\angle EDC = \angle \theta$$ 3. **Apply the theorem:** Given $\angle EDC = 29^\circ$, then $$\theta = 29^\circ$$ 4. **Reason:** This is because the tangent-chord angle theorem states the angle between the tangent and chord equals the angle subtended by the chord in the opposite segment of the circle. **Final answer:** $$\boxed{29^\circ}$$