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dimulka [17.4K]
3 years ago
11

What is the value of x? round the answer to the nearest tenth. the diagram is not drawn to scale.

Mathematics
2 answers:
Zepler [3.9K]3 years ago
8 0
It would also be 60°
B
notka56 [123]3 years ago
3 0

Answer:

60°

Step-by-step 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.

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