Question

using algebra use the diagram of △rst with exterior angle ∠qrt.

1. write an equation about the angle measures labeled in the diagram.

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.

Step2: Apply the theorem to the given triangle

In \(\triangle RST\), \(\angle QRT\) (exterior angle) is non - adjacent to \(\angle T\) and \(\angle S\). So, \(x=y + z\)

Answer:

\(x=y + z\)