Question: Let 1, 2, and 3 denote the unknown angles of a triangle, measured in degrees (i > 0 for i = 1, 2, 3, and

Let θ1, θ2, and θ3 denote the unknown angles of a triangle, measured in degrees (θi > 0 for i = 1, 2, 3, and θ1 + θ2 + θ3 = 180). Suppose that each angle is measured by an instrument that is subject to error, and the measured values of θ1, θ2, and θ3 are found to be y1 = 83, y2 = 47, and y3 = 56, respectively. Determine the least-squares estimates of θ1, θ2, and θ3.

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