Question

The angles of a

quadrilateral taken in order are 2x,3x,7x,8x.
find x
and prove
that two opposite sides
are parallel​

Answer 1

Answer:

since the sum of the angles is 360,

2x + 3x + 7x + 8x = 360

20x = 360

x= 18 degrees

The opposite angles of a parallelogram are equal (and conversely: if the opposite angles of a quadrilateral are equal, it is a parallelogram). The diagonals of a parallelogram bisect each other (and conversely: if the diagonals of a quadrilateral bisect each other, it is a parallelogram).

then if it is a parallelogram, then

the attachment is given.

Hope it will help you. :)