In Fig. 6.44, the side QR of PQR is produced to a point S. If the bisectors of `/_P Q R"\ "a n d/_P R S` meet at point T, then prove that `/_Q T R=1/2/_Q P R` .

Explanation

To prove that \( \angle QTR = \frac{1}{2} \angle QPR \), we will follow these steps:

### Step 1: Identify the Angles
Let:
- \( \angle PQR = \angle 4 \)
- \( \angle QPR = \angle 2 \)
- \( \angle PRS = \angle 6 \)
- \( \angle QTR = \angle 1 \)
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