Respuesta :

Answer:

D. 68

Step-by-step explanation:

According to the figure, the minor arc is 112°, so the other part of the circle would be 360° - 112° = 248°, because a circle has 360° as total arc.

Now, when an external angle is formed by two tangents, that angle is defined as the half-difference between the intercepted arcs, which can be expressed as

[tex]\angle QPR=\frac{1}{2}(248-112) =\frac{1}{2}(136) \\\angle QPR=68\°[/tex]

Therefore, the right answer is D.

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