Answer:
Explanation:
The sum of angles in a quadrilateral is 360 degrees. So, we have:
x + 2x + 3x + fourth angle = 360
6x + fourth angle = 360
fourth angle = 360 - 6x
To find the value of x, we can use the fact that the angles in a quadrilateral add up to 360 degrees:
x + 2x + 3x + (360 - 6x) = 360
6x + 360 - 6x = 360
360 = 360
This equation is true for any value of x, so we cannot solve for x.
To find the size of the largest angle, we can substitute any value of x into the expression for the fourth angle and then find the largest of the four angles. For example, if we choose x = 30, then the angles are:
x = 30 degrees
2x = 60 degrees
3x = 90 degrees
fourth angle = 360 - (x + 2x + 3x) = 180 degrees
So the largest angle is 180 degrees.