Question

equilateral triangle ABC is inscribed in a circle with centre P, then find angle BPC. The answer should be 120 degree

Answer 1

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Answer 2

Answer:

The proof is explained below.

Step-by-step explanation:

Given equilateral triangle ABC is inscribed in a circle with center P. we have to find the angle ∠BPC.

Since all angle of equilateral triangle are congruent and are of 60°

And given the triangle ABC equilateral

⇒ All angles of ΔABC are of 60°

Let ∠BPC is x

By theorem,

Angle made at the center is twice the angle at the circumference of circle.

∠BPC=2∠BAC=2(60)=120°