Question

Prove that angles in the same segment of a circle are equal

Answer 1

Given ..
a circle with center o and angles prq and andle psq in the same segment formed by the chord pq
Reason to prove ..
angle ∠prq=angle∠ psq
proof ..
∠ poq=2 ∠ prq----(1)
 ∠poq=2 ∠ psq----(2)
from equation (1)and (2)
2 ∠ prq=2 ∠ psq
⇒∠prq=∠psq

Answer 2

Answer:

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