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$$\mathrm{ABCD}$$ is a quadrilateral.$$\mathrm{AB}=7\mathrm{cm}$$$$\mathrm{BC}=5\mathrm{cm}$$$$\mathrm{BC}=11\mathrm{cm}$$$$\mathrm{AD}=10\mathrm{cm}$$, angle $$\mathrm{BAD}=130^{\circ}$$. Work out the size of angle $$\mathrm{BCD}$$.
$$147.7^{\circ}$$