Question

Answer the following questions with reference to the figure:



(1) Name the exterior angles at the vertex P.

(2) Name the angles forming a linear pair with ∠PRQ.

(3) Is ∠SQT an exterior angle of the ∆PQR? Give the reason for your answer.

(4) Name the angles of ∆PQR that form a linear pair with the exterior angle ∠PQS.

Answer 1

(1) Exterior angles are those angles which form a linear pair with the angles of a triangle.
So, at vertex P, the exterior angles are ∠DPQ and ∠LPR.

(2) The angles forming a linear pair with ∠PRQ are ∠PRM and ∠QRN.

(3) No, ∠SQT is not an exterior angle of the triangle PQR because an exterior angle is an angle that forms a linear pair with the angles of a triangle.

(4) The angle of ∆PQR forming a linear pair with ∠PQS is ∠PQR.