Question

the side QR of triangle PQR is produce to a point S . if the bisector of /_ PQR and /_PRS meet at point T , then prove that /_QTR = 1\2 /_QPR​

Answer 1

Answer:

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Step-by-step explanation:

To prove: Angle QTR = ½ angle QPR

 

Let angle TRS = a

Angle PRQ = 180 – 2a

Let angle TQR = b

Therefore, angle PQT = b

In triangle QPR

Angle QPR = 2a – 2b = 2 (a – b)

Similarly, in triangle QTR

Angle QTR = a – b

 

Therefore, angle QTR = ½ angle QPR

Hence prove.