An isosceles trapezoid has base angels of 120°. What is the measure in each of the other angles of the trapezoid?

Dear Student,

Please find below the solution to the asked query:

We form our isosceles trapezium from given information , As :

As given trapezium is isosceles so adjacent angles along with parallel side are equal to each other , So

BAD = ABC = 120° 

We know adjacent angles ( Along with non parallel sides ) are supplementary in trapezium , So

BAD + CDA = 180°  , Substitute value from given diagram we get : 

120°  + CDA = 180° ,

CDA = 60°

And

ABC + DCB = 180°  , Substitute value from given diagram we get : 

120°  + DCB = 180° ,

DCB = 60°

Therefore,

Other angles of given trapezium  =  120°  , 60° and 60°                                              ( Ans )


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