Question

determine m∠z. 49° 97° 131° 146°

Explanation:

Step1: Apply the exterior angle theorem

The exterior angle theorem states that an exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. In triangle \(ABC\), \(\angle z\) is an exterior angle. The two non - adjacent interior angles are \(97^{\circ}\) and \(34^{\circ}\).

$$m\angle z=97^{\circ}+ 34^{\circ}$$

Step2: Calculate the sum

$$m\angle z = 131^{\circ}$$

Answer:

\(131^{\circ}\)