Question

The side QR of Triangle PQR is produced to a point S. If the bisectors of Angle PQR and Angle PRS meet at point T, then prove that Angle QTR = Half of Angle QPR

Answer 1

Answer:

Step-by-step explanation:

Angle PRS is the exterior angle of the triangle PQ are

Angle PRS = angle PQR + angle QPR

MULTIPLY HALF ON BOTH SIDES

1/2*angle PRS = 1/2*angle PQR + angle QPR

Angle TRS = angle TQR + 1/2*angle QPR .........(1)

Angle TRS is the exterior angle of triangle TQR

Angle TRS = angle TQR + angle QTR .........(2)

(1)=(2)

angle TQR + 1/2*angle QPR = angle TQR + angle QTR

1/2*angle QPR = angle QTR

Hence proved

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Answer 2

hope it's help you mate..