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The angles of a quadrilateral are 4x,7x,15x and 10x. find the smallest and largest angle of the quadrilateral

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A quadrilateral has angles of 4x, 7x, 15x, and 10x.The smallest angle of the quadrilateral is 4x and the largest angle is 15x.

A quadrilateral is a polygon with four vertices, four sides, and four angles, all of which add up to 360 degrees. The quadrilateral is formed into two triangles when the diagonals are drawn. The angle total for these two triangles is 180°. As a result, the quadrilateral has a 360° total angle. TA quadrilateral has angles that total 360 degrees. This information can be used to find the value of x.

360

= 4x + 7x + 15x + 10x

x = 360 / 36

x = 10

Therefore, the smallest angle is 40 degrees and the largest angle is 150 degrees.

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