Question

brian wants to fence in his triangular plot of farm land that measures 1.1 by 1.5 by 2.2 miles. determine the angles at which the fences of the three sides will meet. rounding each angle to the nearest degree: ( mangle aapprox ) degrees ( mangle bapprox ) degrees ( mangle capprox ) degrees

Explanation:

Step1: Use the angle - sum property of a triangle

The sum of the interior angles of a triangle is \(180^{\circ}\). Let \(m\angle A = 115^{\circ}\), \(m\angle B=27^{\circ}\).

Step2: Calculate \(m\angle C\)

We know that \(m\angle A + m\angle B+m\angle C=180^{\circ}\). Substitute the values of \(m\angle A\) and \(m\angle B\) into the equation: \(m\angle C=180-(m\angle A + m\angle B)\).

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Answer:

\(38\) degrees