Question

problem 14: (first taught in lesson 31)
from this given statement, select the definition, property, postulate, or theorem that justifies the prove statement.
given: △jpw and $overrightarrow{wr}$
prove: m∠jpr = m∠j + m∠w

Explanation:

In a triangle, an exterior angle is equal to the sum of the two non - adjacent interior angles. Here, in \(\triangle JPW\), \(\angle JPR\) is an exterior angle and \(\angle J\) and \(\angle W\) are the non - adjacent interior angles, so the Exterior - Angle Theorem justifies the statement \(m\angle JPR=m\angle J + m\angle W\).

Answer:

The Exterior - Angle Theorem