ABCD is a cyclic quadrilateral such that AB is a diameter of the circle circumscribing it and ADC = 140 �, then BAC is equal to:


Given: ABCD is a cyclic quadrilateral.


ADC = 140°


Since sum of opposite angles of a cyclic quadrilateral is 180°,


ADC + ABC = 180°


140° + ABC = 180°


ABC = 180° - 140°


ABC = 40°


Since, diameter subtends a right angle to the circle,


ACB = 90°


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


CAB + ABC + ACB = 180°


CAB + 40° + 90° = 180°


CAB = 180° - 90° - 40°


CAB = 50°


CAB = 50°

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