Question

problem 10: (first taught in lesson 31) from this given statement, select the definition, property, postulate, or theorem that justifies the prove statement. given: △suv and (overrightarrow{st}) prove: (mangle uvt = mangle s + mangle u)

Explanation:

The exterior - angle theorem of a triangle states that the measure of an exterior angle of a triangle is equal to the sum of the measures of the two non - adjacent interior angles. In $\triangle SUV$, $\angle UVT$ is an exterior angle with respect to the non - adjacent interior angles $\angle S$ and $\angle U$. So, by the exterior - angle theorem, $m\angle UVT=m\angle S + m\angle U$.

Answer:

The Exterior - Angle Theorem