Question

which angle has a measure equal to the sum of ( mangle sqr ) and ( mangle qrs )?
( angle rsc )
( angle sre )
( angle dqs )
( angle qsr )

Explanation:

Step1: Recall the exterior - angle theorem

The exterior - angle theorem of a triangle states that an exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles.
In \(\triangle QRS\), \(\angle SRE\) is an exterior angle.
The two non - adjacent interior angles to \(\angle SRE\) are \(\angle SQR\) and \(\angle QRS\).

Answer:

\(\angle SRE\)