Question

from this given statement, select the definition, property, postulate, or theorem that justifies the prove statement. given: \\( \triangle u y b \\) prove: \\( m \angle y b v = m \angle u + m \angle y \\)

Explanation:

Step1: Recall triangle - related concepts

The exterior angle theorem states that an exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles.

Step2: Identify the elements in the problem

In \(\triangle UYB\), \(\angle YBV\) is an exterior angle. The non - adjacent interior angles to \(\angle YBV\) are \(\angle U\) and \(\angle Y\).

Answer:

The exterior angle theorem.