Question

1. What is the value of x? Round the answer to the nearest tenth. The diagram is not drawn to scale. A)30

B)60
C)120
D)240

Answer 1

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.

:)

Answer 2

The correct option is B. 60°

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°