Question

problem 12:
lesson 31)
from this given statement, select the definition,
property, postulate, or theorem that justifies
the prove statement.
given: △uio
prove: m∠ioe = m∠u + m∠i

Explanation:

Step1: Recall 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 \(\triangle UIO\), \(\angle IOE\) is an exterior angle. The two non - adjacent interior angles to \(\angle IOE\) are \(\angle U\) and \(\angle I\).

Answer:

The exterior - angle theorem.