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Find the smallest side of △BCD, given that m∠D=112°, m∠C=37°, and m∠B=31°.

Question

Find the smallest side of △BCD, given that m∠D=112°, m∠C=37°, and m∠B=31°.

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Solution

To find the smallest side of the triangle, we first need to find the smallest angle. The smallest angle is the one opposite the smallest side in a triangle.

Given that m∠D=112°, m∠C=37°, and m∠B=31°, we can see that m∠B is the smallest angle.

Therefore, the smallest side of the triangle △BCD is side BC, which is opposite ∠B.

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