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Question

Can sum of opposite angles of a quadrilateral be 350?

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Solution

A quadrilateral is a shape with 4 sides.

Now that we know the sum of the angles in a triangle, we can work out the sum of the angles in a quadrilateral.

A  quadrilateral with a diagonal line

For any quadrilateral, we can draw a diagonal line to divide it into two triangles. Each triangle has an angle sum of 180 degrees.
Therefore the total angle sum of the quadrilateral is 360 degrees.


Coming to our question,
we have sum of opposite angles =350.
Now it is practially imposible to construct remaining to angles of a quadrilateral having sum =360-350=10 degree.

So Generally we cannot construct such an quadrilateral.


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