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Question

1)One of the angle of a parallelogram is 55°. Find all the other angles

2)8649 students were sitting in a room such a way that the number of rows and number of students in each row were same. how many students were in each row.

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Solution

1.By geometric properties, opposite angles are equal in a parallelogram and adjacent angles are supplementary. So, the angle opposite of that one is also 55, and the other two are both 125,since
adjacent angles are supplementary (i.e,180-55=125)


2.Total no. of students=8649
By question : no. of student in each row = no. of rows
so row×row=8649
x×x=8649

 {x}^{2}  = 8649

x=√8649
therefore x=93
so there are 93 rows and 93 students
Hope this will help

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