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In the figure alongside, $\text{O}$ is the centre of the circle and $\text{AC}$ is the diameter. The line $\text{FEG}$ is tangent to the circle at $\text{E}$. If $\angle \text{GEC}= 52^{\circ}$, find the value of $\angle e+\angle c.$

- $154^{\circ}$
- $156^{\circ}$
- $166^{\circ}$
- $180^{\circ}$