Question

prove that the angle subtended by an arc at the center is double the angle by it in remaining part of circle​

Answer 1

Answer:

Theorem: The angle subtended by an arc of a circle at its centre is twice of the angle it subtends anywhere on the circle's circumference. The proof of this theorem is quite simple, and uses the exterior angle theorem – an exterior angle of a triangle is equal to the sum of the opposite interior angles.