In the adjoining figure, ABCD is a cyclic quadrilateral. If AB is a diameter, BC = CD and ABD = 40°, find the measure of DBC.
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In the cy.QRL Angle ADB= d =90 degree
(angle of Semicircle)
Angle A = 50 degree. (180-l30)
Angle C = 130degree. ( I80-50)
2x =180-130=50
x = 25° = AngleDBC. ANSWER
In a cyclic QRL the sum of opposite
angles are supplementary
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