Answer :

Answer:

∠ QPR = 64.5°

Step-by-step explanation:

The chord- chord angle QPR is half the sum of the arcs intercepted by the angle and its vertical angle, then

∠ QPR = [tex]\frac{1}{2}[/tex] (QR + ST ) = [tex]\frac{1}{2}[/tex] (98 + 31)° = 0.5 × 129° = 64.5°

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