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A triangle has angles A, B, and C (in degrees). The angles are estimated, using a...

A triangle has angles A, B, and C (in degrees). The angles are estimated, using a certain device, giving independent estimators XA, XB, and XC, which are all normally distributed,with the correct mean, and standard deviation equal to 1, i.e. XA ~N(A, 1), XB ~N(B, 1), XC ~N(C, 1). For a certain reason, interest lies exclusively in angle A. Suppose you use Nadine's method to estimate A, B, and C with the optimal value of w each time. Call the three estimators NA, NB, and NC. Show that NA +NB+NC=180

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