Question

in the figure, the side QR of angle 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 = 1 / 2 angle QPR​

Answer 1

Step-by-step explanation:

If the bisectors of ∠PQR and ∠PRS meet at point T, then prove that ∠QTR = 1/2 ∠QPR. According to the exterior angle theorem of a triangle, if a side of a triangle is produced, then the exterior angle so formed is equal to the sum of the two interior opposite angles. Hence proved, ∠QTR = 1/2 ∠QPR.