# Proof of theorem- angles subtended by the same arc in the same segment are equal. Please answer soon, need it urgently, exam tom!!!!

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Given: 'o' is the centre of the circle . AB an arc. angle c and angle d are the angles in the same segment with respect to AB.

R.T.P. : angle c =angle d

Construction: join OA and OB

PROOF: angle AOB =2angle ACB........(1)

angle AOB= 2 angle ADB......(2)

from equation 1,2

2 angle ACB= 2 angleADB

THERFORE angle acb =adb

hence angle C = angle D