Question

35 POINTS!!! The measures of the angles in a quadrilateral are represented by x, 2x, 3x, and 3x. Write an equation that would allow you to solve for the value of x. Solve for the value of x

Answer 1

The value of x is 40.

Explanation:

The measures of the angles in a quadrilateral are represented by x, 2x, 3x, and 3x.

According to the angle sum property of quadrilateral, the sum of interior angles of a quadrilateral is always 360 degree.

Since the measures of the angles in a quadrilateral are represented by x, 2x, 3x, and 3x, therefore

`x+2x+3x+3x=360`

This is the equation which is used to solve for the value of x.

`9x=360`

`x=(360)/(9)`

`x=40`

Therefore the value of x is 40.