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determine the remaining sides and angles of the triangle abc. c = 7 mi,…

Question

determine the remaining sides and angles of the triangle abc.
c = 7 mi, b = 35.37°, c = 31.28°
find the measure of angle a.
a = □°
(type an integer or a decimal.)

Explanation:

Step1: Recall the angle - sum property of a triangle

The sum of the interior angles of a triangle is \(A + B + C=180^{\circ}\).

Step2: Solve for angle \(A\)

We know \(B = 35.37^{\circ}\) and \(C = 31.28^{\circ}\). Substitute these values into the formula \(A=180^{\circ}-(B + C)\).

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Answer:

\(113.35\)