Q. 54.2( 6 Votes )

In Fig.10.5, if A

Answer :

Given: AOB is the diameter of the circle.

AC = BC


ABC = BAC = x (say) ( angles opposite to equal sides are equal)


Also, diameter subtends a right angle to the circle,


ACB = 90°


Now, by angle sum property of a triangle, sum of all angles of a triangle is 180°.


CAB + ABC + ACB = 180°


x + x + 90° = 180°


2x = 90°


x = 45°


CAB = ABC = 45°

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