Q. 54.0( 5 Votes )

# In Fig.10.5, if AOB is a diameter of the circle and AC = BC, then CAB is equal to:A. 30 �B. 60 �C. 90 �D. 45 �

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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