Question

which angle has a measure equal to the sum of $m\angle sqr$ and $m\angle qrs$?
$\angle rsc$
$\angle sre$
$\angle dqs$
$\angle qsr$

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: Identify the triangle and angles

In \(\triangle SQR\), \(\angle SRE\) is an exterior angle. The two non - adjacent interior angles are \(\angle SQR\) and \(\angle QRS\).

Answer:

\(\angle SRE\)