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

Answer:

The value of x is 40.

Step-by-step 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.

$9x=360$

$x=\frac{360}{9}$

$x=40$

Therefore the value of x is 40.