Question

Triangle Q R S is shown with exterior angles. Line R Q extends through point D. Line Q R extends through point E. Line Q S extends through point C.
Which angle has a measure equal to the sum of m∠SQR and m∠QRS?

∠RSC
∠SRE
∠DQS
∠QSR

Answer 1

∠RSC

Reason: C lies on the extension of QS, so ∠RSC is the exterior angle at S. By the exterior-angle theorem, an exterior angle equals the sum of the two remote interior angles, ∠SQR and ∠QRS.