please answer me the question step by step

please answer me the question step by step d o

Dear Student,

Please find below the solution to the asked query:

Let we have a parallelogram , ABCD , As :

From given condition and above diagram we assume :  $\angle$ BAD +  $\angle$ BCD  =  150$°$

And we know opposite angles in parallelogram are equal to each other , So $\angle$ BAD =  $\angle$ BCD , Substitute that in above equation and get :

$\angle$ BAD +  $\angle$ BAD = 150$°$ ,

2 $\angle$ BAD = 150$°$ ,

$\angle$ BAD = 75$°$ 

We know adjacent angles are supplementary in parallelogram , So 

$\angle$ BAD +  $\angle$ ABC = 180$°$ , Substitute " $\angle$ BAD = 75$°$   " as we calculated above and get :

75$°$ +  $\angle$ ABC = 180$°$ ,

$\angle$ ABC = 105$°$ 

Therefore,

Angles of given parallelogram  : 105$°$ , 75$°$ , 105$°$ and 75$°$                                            ( Ans )


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