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: m∠a ≈ 115 degrees, m∠b ≈ 27 degrees, m∠c ≈ degrees (with a triangle image labeled a, b, c with sides 1.1 mi, 1.5 mi, 2.2 mi)

Explanation:

Step1: Recall triangle angle sum

The sum of angles in a triangle is \( 180^\circ \).

Step2: Calculate \( m\angle C \)

We know \( m\angle A \approx 115^\circ \) and \( m\angle B \approx 27^\circ \). So, \( m\angle C = 180^\circ - m\angle A - m\angle B \).
Substitute the values: \( m\angle C = 180 - 115 - 27 \).
Calculate: \( 180 - 115 = 65 \), then \( 65 - 27 = 38 \).

Answer:

\( 38 \)