Respuesta :

Angles CPD and BPA are vertical angles, meaning that they are equal. We see that angle CPA is equal to 60 degrees, therefore angle BPA is equal to 60 degrees.

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Answer:

The correct option is B. 60°

Step-by-step explanation:

In ΔPCD and ΔPBA

PD = PA (radius of the same circle)

PC = PB (radius of teh same circle)

DC = AB (given)

So, By SSS congruency property of triangles,

ΔPCD ≅ ΔPBA

Now, By using CPCT property of two congruent triangles

m∠CPD = m∠BPA = 60°

⇒ x = 60°

Therefore, the correct option is B. 60°