Question

determine the remaining sides and angles of the triangle abc.
a = □° (round to the nearest degree as needed.)

Explanation:

Step1: Use the angle - sum property of a triangle

The sum of angles in a triangle is \(A + B + C=180^{\circ}\). Given \(B = 61^{\circ}\) and \(C = 34^{\circ}\).

$$A=180^{\circ}-(B + C)$$

Step2: Substitute the values of \(B\) and \(C\)

Substitute \(B = 61^{\circ}\) and \(C = 34^{\circ}\) into the formula.

$$A=180^{\circ}-(61^{\circ}+ 34^{\circ})$$

$$A=180^{\circ}-95^{\circ}$$

$$A = 85^{\circ}$$

Answer:

\(85\)