Question

problem 18:
lesson 49)
from this given statement, select the definition,
property, postulate, or theorem that justifies
the prove statement.
given: uy > yb
prove: m∠ybu > m∠u

Explanation:

Step1: Analyze the triangle - exterior angle relationship

In triangle \(UYB\), \(\angle YBU\) is an exterior angle.

Step2: Apply the exterior - angle inequality theorem

The exterior - angle inequality theorem states that an exterior angle of a triangle is greater than either of the non - adjacent interior angles. In \(\triangle UYB\), \(\angle YBU\) is an exterior angle and \(\angle U\) is a non - adjacent interior angle.

Answer:

The exterior - angle inequality theorem.