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

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

$\angle $ BAD = $\angle $ ABC = 120$\xb0$

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

$\angle $ BAD + $\angle $ CDA = 180$\xb0$ , Substitute value from given diagram we get :

120$\xb0$ + $\angle $

**CDA = 180$\xb0$ ,**

**$\angle $ CDA = 60$\xb0$**

And

$\angle $ ABC + $\angle $ DCB = 180$\xb0$ , Substitute value from given diagram we get :

120$\xb0$ + $\angle $

**DCB = 180$\xb0$ ,**

**$\angle $ DCB = 60$\xb0$**

Therefore,

**Other angles of given trapezium = 120$\xb0$ , 60$\xb0$ and 60$\xb0$ ( Ans )**

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