Question

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
thank you!!

Answer 1

It would also be 60°
B

Answer 2

60°

Explanation:

We are given that DC = AB

PD, PC, AP and PB are the radius of circle.

In ΔAPB and ΔCPD

AP=CP (Radius of circle)

PB=PD (radius of circle)

DC=AB(Given)

So, By SSS property of congruence

ΔAPB≅ ΔCPD

Now we are given that ∠DPC = 60°

∠BPA=x

So, ∠DPC=∠BPA (ΔAPB≅ ΔCPD)

∠DPC=∠BPA =x= 60°

Thus the value of x is 60°

Hence Option B is correct.