Question

If the angels of a quadrilateral are x, 2x and 3x. what is the value of x.

calculate the size of the largest angel.​

Answer 1

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.