Q. 184.2( 6 Votes )

The opposite sides of a quadrilateral are parallel. If one angle of the quadrilateral is 60° find the other angles.

Answer :

AB CD and AD is transversal

AD BC


Therefore,


A + D = 180o(Co. interior angles are supplementary)


60o + D = 180o


D = 120o


Now,


AD BC and AB is transversal


A + B = 180o(Co. interior angles are supplementary)


60o + B = 180o


B = 120o


Hence,


A = C = 60o


B = D = 120o


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